• Course Code: 01:640:135
• Semester(s) Offered: Fall, Spring, Summer
• Credits: 4
• SAS Core Certified: QQ, QR
• Counts toward math major/minor?: Yes
• Prerequisites: Math 112 or Math 115 or placement

Course Overview

Schedule of Sections

Math 135 provides an introduction to calculus, covering limits and continuity, the derivative and tangent lines, applications of the derivative, and basic integration. Math 151 is another introductory calculus course. See below for important policies regarding these two sequences.

Who should take the Math 135 sequence?

• Math 135 is intended and required for many majors in the biological and social sciences.
• Some Economics majors may only need Math 135, but others may also need Math 152. Please see an adviser in your major if you are unsure.
• Students in Rutgers Business School are also currently required to pass Math 135 with a grade of C. (All current details can be found on the RBS web site.)
• It is possible to take Math 152 after Math 135, but this is not a recommended sequence.
• Math 136 does not satisfy the prerequisite for Math 251.

Who should take the Math 151 sequence?

• Math 151 is intended and required for many majors in mathematical and physical sciences.
• Students in Rutgers School of Engineering are also currently required to take Math 151. SOE does not accept Math 135 for CALC1 credit. (All current details can be found on the SOE web site.)
• If you will need Math 152, you should take Math 151 instead of Math 135
• If you will need Math 251, you must take Math 152, whose recommended prerequisite is Math 151. Hence if you will need Math 251, you are strongly recommended to take Math 151 instead of Math 135.

Can I take Calculus I a third time?

• As of Fall 2019, students who have failed Calculus I (either 135 or 151) twice can no longer take the course again at Rutgers -- New Brunswick.
• Students who have failed Calculus I twice because of extenuating circumstances can request an exception by submitting an appeal.
• ATTENTION: Due to the COVID-19 crisis, all students from all schools (including SOE and RBS) who have previously failed Calculus I and then have repeated the class in Spring 2020 obtaining an F or NC can apply to the Math Department for permission to one more attempt during Summer 2020 or Fall 2020 without need of any supporting documentation.
• More details can be found on the special permissions page.

• Course Code: 01:640:110
• Semester(s) Offered: Spring (even years)
• Credits: 3
• SAS Core Certified: QQ, QR
• Counts toward math major/minor?: No
• Prerequisites: Math 107

General Information

This course examines algebraic thinking in the context of middle school algebra, with emphasis on mathematical reasoning, conceptual reasoning, and communicating concepts effectively.

This algebra course is designed specifically for future teachers, and is strongly recommended for those pursuing the 15-credit middle school mathematics endorsement. It is also very suitable for future teachers at the elementary level who are strong mathematically (e.g. who have done well in another 100 level mathematics course at Rutgers). The emphasis of the course is on understanding the mathematics conceptually, and articulating the reasoning process. The prerequisite is Math 026:Intermediate Algebra, or equivalent, or Math 107.  Many students take Math 107 before 110, but taking the courses in this sequence is not required. Registration for Math 110 requires a special permission number. Please apply for an SPN via Special Permission for K-8 Teaching Courses. The course is typically offered in the spring semester.

Textbook

Textbook:  For current textbook please refer to our Master Textbook List page

Syllabus

Consult the instructor.

Schedule of Sections

01:640:110 Schedule of Sections 

• Course Code: 01:640:109
• Semester(s) Offered: Spring (odd years)
• Credits: 3
• SAS Core Certified: QQ, QR
• Counts toward math major/minor?: No
• Prerequisites: Math 026 or Math 107 or placement

General Information

Math content course on geometry and measurement stressing depth of understanding needed for effective middle grade teaching. Justifying procedures and formulas. Multiple points of view in explanations. Geometric objects in two and three dimensions. Transformations, symmetry, congruences, similarity, scaling. Perimeter, area, volume. Error estimates in measurement. Changing units.

This geometry course is designed specifically for future teachers, and is strongly recommended for those pursuing the 15-credit middle school mathematics endorsement. It is also very suitable for future teachers at the elementary level who are strong mathematically (e.g. who have done well in another 100 level mathematics course at Rutgers). The emphasis of the course is on understanding the mathematics conceptually, and articulating the reasoning process.

The prerequisite is Math 026:Intermediate Algebra, or equivalent. Many students take Math 107 before 109, but taking the courses in this sequence is not required.

Registration for Math 109 requires a special permission number. Please apply for an SPN via Special Permission for K-8 Teaching Courses. The course is typically offered in the Fall semester in odd-numbered years

Textbook

Textbook:  For current textbook please refer to our Master Textbook List page

Schedule of Sections

 01:640:109 Schedule of Sections

• Course Code: 01:640:107
• Semester(s) Offered: Fall, Spring
• Credits: 3
• SAS Core Certified: QQ, QR
• Counts toward math major/minor?: No
• Prerequisites: Math 025 or placement

General Information

This course is intended for future teachers, but not necessarily those who will specialize in teaching mathematics.  Although intended primarily for those who will teach at the K-8 level, it is valuable as a foundation for K-12 teaching as well.

Math 107 will probably seem like quite a change of pace from your typical math course. It reexamines many of the mathematical ideas with which you are already familiar, placing them in the context of the subject as a whole but in addition viewing them from the perspective of young students first learning them. The emphasis will be on reasoning and communication, and you will do much more written explanation than in a typical math course. Much of the time in class will be spent on interactive work, rather than classical lectures.

This course is taught during both fall and spring semesters but does require a special permission number.  
Please apply for an SPN via Special Permission for K-8 Teaching Courses. The course is typically offered in the spring semester.

Prerequisite:  Elementary Algebra.  Students must have taken or placed out of Elementary Algebra to enter this course.

Admission to the course is by permission of the department. This does not use our online system, but is handled separately by .

Textbook

Textbook:  For current textbook please refer to our Master Textbook List page

Syllabus

Topics to be covered:

1.     .  Place Value
2. Algorithms for Whole Numbers
   1.        Addition
   2.        Subtraction
   3.        Multiplication
   4.        Division
   5.        Non-Base Ten Algorithms
3.        Signed Numbers
4. Fractions
   1.        Defining Fractions
   2.        Addition and Subtraction of Fractions
   3.        Multiplication of Fractions
   4.        Division of Fractions
      
   5.        Comparing Fractions
5.        Ratio and Proportion
6. Decimals
   1.        Addition and Subtraction of Decimals
   2.        Multiplication of Decimals
   3.        Division of Decimals
   4.        Rational vs Irrational
   5.        Converting and Comparing: Decimals and Fractions 

Archives

Previous semesters:

• Fall 2007, 2008. Professor Beals.
• Fall 2006, Professor Beals.
• Listed first as 103 T1 and then as 107, taught by Professor Beals.

Schedule of Sections

01:640:107 Schedule of Sections

• Course Code: 01:640:106
• Semester(s) Offered: Fall, Spring, Summer
• Credits: 3
• SAS Core Certified: QQ, QR
• Counts toward math major/minor?: No
• Prerequisites: Math 025 or Math 103 or placement

Course Description

This course is an introduction to the uses of college level mathematics in personal finance applications. Similar to Math 103 in its target audience, this course is intended for students not majoring in the mathematical or natural sciences. The subject matter is more focused than in 103, and is highly applicable. Topics include simple interest, simple discount, compound interest, annuities, investments, retirement plans, mortgages, student loans, leasing, inflation, and insurance. Some biological analogies and applications are considered throughout the course. The course is designed so that reinforcement of basic skills is integrated into the learning of the subject matter. The emphasis is on problem solving, with some derivation of formulas and consideration of why the formulas make sense. You will never wonder, “what is this kind of math actually good for in real life?”

Textbooks

Textbook:  For current textbook please refer to our Master Textbook List page

Syllabus

The following list of topics, classes, and exams is approximate. The actual topics and exam dates are determined by each instructor. See the instructor of a specific section for details.

SAS Core Curriculum Learning Goals

Math 106 fulfills both the Quantitative Information (QQ) and Mathematical or Formal Reasoning (QR) learning goals of the SAS Core Curriculum: 
QQ: Formulate, evaluate, and communicate conclusions and inferences from quantitative information. 
QR: Apply effective and efficient mathematical or other formal processes to reason and to solve problems.

Additional Information

This course may not be used as an elective for the math major or minor. It is not intended for students majoring in business, economics, or STEM fields. Rutgers Business School will not give its students credit for taking this course.

Schedule of Sections

• Course Code: 01:640:104
• Semester(s) Offered: Fall, Spring
• Credits: 3
• SAS Core Certified: QQ, QR
• Counts toward math major/minor?: No
• Prerequisites: Math 025 or Math 103 or placement

General Information

Textbook:  For current textbook please refer to our Master Textbook List page

Credits: 3

The course gives a mathematical yet accessible and concrete introduction to probability. Most of the course is devoted to understanding how probability works, and how it is applied in a number of areas, including medical testing and some decision making. The end of the course discusses some statistics and applications. You will never be left wondering, "What is this good for? What does this have to do with real life?" 

This is an "elementary" course for liberal arts majors, in the sense that it does not presume any knowledge of precalculus or calculus. It is, however, more challenging than Math 103, and more focused in its subject matter. Many students who take Math 104 have already taken Math 103 or 106, although these are not prerequisites.

Math 104 is typically not appropriate for majors in STEM fields. Math 104 may not be used as an elective for the Mathematics major or minor, and may not be taken for credit simultaneously with or after a student has received credit for any of the following courses: 01:640:477, 01:198:206, 01:960:379, 01:960:381, 14:332:226.  But Math 104 may be taken for credit before any of the courses on this list, and some students find it helpful to do so, especially before 01:640:477.

Prerequisite: 01:640:026 or appropriate performance on the placement test in mathematics. May not be used as an elective for the math major or minor.

SAS Core Curriculum Learning Goals

Math 104 fulfills both the Quantitative Information (QQ) and Mathematical or Formal Reasoning (QR) learning goals of the SAS Core Curriculum: 
QQ: Formulate, evaluate, and communicate conclusions and inferences from quantitative information. 
QR: Apply effective and efficient mathematical or other formal processes to reason and to solve problems.

Hybrid sections

In fall 2017, there will be one hybrid and two traditional sections of the course, so that students can choose the format which is best for their learning style. The hybrid section implements the flipped classroom model, so that students first learn the subject matter, on their own time, from carefully working through a series of video lecture segments posted on Sakai interspersed with practice problems. The weekly class meeting follows up on the students' online work, beginning with a quiz on that work, and proceeding with a highly interactive workshop session. A hybrid section has only half the in-person class time of a regular section, but this does not mean that it requires half as much work! On the contrary, the hybrid format requires a certain extra discipline, to keep up with the online component of the course. But it does have the advantage that students can rewatch the videos as often as they need to, and can also benefit from a more interactive classroom experience. 

Syllabus

There is some variation between sections, but  this section  is representative of the course.

Previous semesters:

• Spring 2009. Michael Weingart
• Fall 2008. Michael Weingart
• Spring 2008. Daniel Cranston
• Spring 2007. Michael Weingart

Schedule of Sections

• Course Code: 01:640:115
• Semester(s) Offered: Fall, Spring, Summer
• Credits: 4
• SAS Core Certified: QQ, QR
• Counts toward math major/minor?: No
• Prerequisites: Math 026 or placement

Read more: 01:640:115 - Precalculus College Mathematics

• Course Code: 01:640:123
• Semester(s) Offered: Fall, Spring
• Credits: 2
• Counts toward math major/minor?: No
• Prerequisites: By application only. This is a half-semester course for students switching out of Calc I.

Course Description

Math 123: Preparation for Calculus I is a half-semester course. It is designed for students currently enrolled in Calculus I (Math 135 or Math 151) that need additional preparation to successfully complete the course. Rather than continuing to struggle in Calculus I, these students can switch to Math 123. This course is an opportunity for a productive second half of the semester and for students to best set themselves up for future success in calculus.

Students in this course will work through a review of algebra and precalculus topics. This is not simply a shorter version of existing precalculus courses. Rather, the course is designed specifically to include only material that is important for success in calculus.

In order to enroll in Math 123, students must drop Calculus I (which will be done so that students do not get a W in Calculus I). This course is 4 credits - 2 are academic credits (counting toward graduation) and 2 are E credits (counting toward your registration total). Thus students who switch from Calculus I to Math 123 will maintain the same registration total.

If you have questions about the course, send an email to the Math 123 coordinator.

Course Format

This course meets twice a week. This course is taught in a flipped format, where students are introduced to the material before class through videos and online homework, then spend the majority of class time working on problems in groups.

Most class meetings will include a quiz and there will be two exams (midterm and final).

Textbook

Students in this course must purchase access to the online homework system Knewton Alta for the duration of the course. All other course materials, such as videos or textbook readings, will be available in Knewton Alta or on the Canvas site.

Spring 2026 Sections

Section 3: Mon, Wed, 9:20-10:40pm (Busch)
Section 4: Tues, Thurs, 9:20-10:40pm (Liv)

Enrollment in Math 123

Students can only enroll in this course if they are currently enrolled in Math 135 or Math 151. Enrollment in Math 123 is by application only.

application for Math 123

Applications will be processed in three rounds. Students who apply during an earlier round have a higher chance of being approved over those applying in a later round.

Round 1: ends Thursday, February 19 at 11:59pm, students will be notified by Monday, February 25.

Round 2: ends Thursday, February 26, at 11:59pm, students will be notified by Friday, February 27.

Round 3: ends Monday, March 2, at 11:59pm. Students will be notified as soon as possible to attend the relevant section.

The first day of class is Monday, March 2. 

If you have questions about the application, send an email to the Math 123 coordinator.

Students whose applications are approved will be enrolled in Math 123 and dropped from Calculus I. You should not submit an application if you do not want to drop Calculus I.

FAQs

How do I decide if I should switch to Math 123?

Math 123 will review prerequisite material, such as algebra and trigonometry. Students who are struggling with this aspect of Calculus I could benefit from a review of this material and should consider switching to Math 123. Students may also discuss their performance in Calculus I so far with their instructors to get a more accurate assessment of whether they should consider switching to Math 123.

Can I take Math 123 without dropping Calculus I?

No, in order to enroll in Math 123, students will be dropped from Calculus I. The courses may not be taken simultaneously. You should not submit an application if you do not want to drop Calculus I.

Will I receive a W for Calculus I when I switch?

No. Students who switch into Math 123 from either Math 135 or Math 151 will not receive a W for their calculus enrollment. Instead, Calculus I will be removed from the student's schedule.

If I take Math 123, do I get credit for Calculus I?

 No. You will get credit for Math 123. To get credit for Calculus I, you must retake it in a later semester.

Are my exam scores in Calculus I a part of my grade in Math 123?

No. None of the scores from Calculus I affect your Math 123 grade. Your Math 123 grade is based solely on your performance in Math 123 starting in week 7.

If I retake Calculus I, do my exam scores carry over?

No. If you retake Calculus I, you will start with a blank slate. No scores from a prior semester will be used during a later semester.

Course Schedule

1.2 - Exponents and Scientific Notation

1.3 - Radicals and Rational Exponents

1.4 - Polynomials

1.5 - Factoring Polynomials

1.6 - Rational Expressions

2.2 - Linear and Rational Equations in One Variable

2.5 - Quadratic Equations

2.6 - Other Types of Equations

2.7 - Linear Inequalities and Absolute Value Inequalities

2.8 - Inequalities Requiring Factoring

3.1 - Functions and Function Notation

3.3 - Domain and Range

3.4 - Rates of Change and Behavior of Graphs

3.5 - Composition of Functions

4.1 - Linear Functions

5.2 - Graphs of Polynomial and Power Functions

5.5 - Rational Functions

6.2 - Graphs of Exponential Functions

6.3 - Logarithmic Functions

6.4 - Graphs of Logarithmic Functions

6.5 - Logarithmic Properties

6.6 - Exponential and Logarithmic Equations

6.7 - Exponential and Logarithmic Models

7.1 - Angles as Rotations and Arc Length

7.2 - Right Triangle Trigonometry

7.3 - The Unit Circle

7.4 - The Other Trigonometric Functions

8.1 - Sine and Cosine Graphs

8.2 - Graphs of Other Trigonometric Functions

9.1 - Fundamental Trigonometric Identities

9.5 - Solving Trigonometric Equations

14.1 - Finding Limits Using Numerical and Graphical Approaches

14.2 - Finding Limits Analytically

14.3 - Continuity

14.4 - Derivatives

Schedule of Sections:

01:640:123 Schedule of Sections

• Course Code: 01:640:112
• Semester(s) Offered: Fall, Spring, Summer
• Credits: 2
• SAS Core Certified: QQ, QR
• Counts toward math major/minor?: No
• Prerequisites: Math 111

• Math 112 Exam 1 Review: Spring 2026
• Math 112 Exam 2 Review: Spring 2026
• Math 112 Final Exam Review: Spring 2026
• Math 112 Final Exam Formula Sheet: Spring 2026
• Current Semester Sections

*This document requires Acrobat 5.0 or above in order to view it.

Course Description

01:640:112
Math 112 Precalculus II (2)
Prerequisite: 01:640:111. Corequisites: 01:640:012 for 01:640:112. This course with 01:640:111 covers the same material as 01:640:115, but at a slower pace. Students may not receive more that 4 normal credits for any combination of 01:640:111-112, and 115.

Exponential, logarithmic, and trigonometric functions.

Schedule of Sections:

01:640:112 Schedule of Sections

• Course Code: 01:640:111
• Semester(s) Offered: Fall, Spring, Summer
• Credits: 2
• Counts toward math major/minor?: No
• Prerequisites: Math 026 or placement

Precalculus I (2)

Prerequisite: 01:640:026 or appropriate performance on the placement test in mathematics. Corequisites: 01:640:011 for 01:640:111. This course with 01:640:112 covers the same material as 01:640:115, but at a slower pace. Students may not receive more that 4 normal credits for any combination of 01:640:111-112, and 115.

Algebraic expressions, algebraic equations, inequalities, functions, and graphing.

• Exam 1 Review Exercises: Spring 2024
• Exam 2 Review Exercises: Spring 2022
• Exam 3 Review Exercises: Fall 2024
• Handout: The Language of Functions*
• Math 111 Final Exam Review Exercises: Fall 2025*
• Current Semester

*This document requires Acrobat 5.0 or above in order to view it.

Schedule of Sections:

01:640:111 Schedule of Sections