# Courses

## 01:640:115 - Precalculus College Mathematics

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### Course Description

01:640:115 Math 115 PCA

Precalculus College Mathematics (4)
Prerequisite: 01:640:026 or appropriate performance on the placement test in mathematics. Students may not receive more that 4 normal credits for any combination of 01:640:111-112, and 115. Students who feel unprepared for this course (who have not had math for several years or whose mathematical background is weak) should consider taking 01:640:111-112, which covers the same material as 115 but at a slower pace and begins with an exensive review of intermediate algebra.

Algebraic expressions, algebraic equations, inequalities, functions, graphing. Exponential, logarithmic, and trigonometric functions.

### SYLLABUS

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

A more detailed list of learning goals can be found here.

 Class Sections Topics 1.1 Real Numbers (Student covers on own.) 1 1.2 Exponents and Radical 1.3 Algebraic Expressions 2 1.4 Fractional Expressions 1.5 Equations 3 1.7 Modeling with Equations 4 Exam 1 Covers Chapters 1.1 – 1.5 5 1.9 Coordinate Geometry 1.10 Lines 6 1.8 Inequalities 1.11 Solving Equations & Inequalities Graphically 7 2.1 Functions 2.2 Graphs of Functions 8 2.3 Getting Information from a Graph 2.5 Linear Functions & Models 2.6 Transformation of Functions 9 2.7 Combining Functions 2.8 Begin One-to-One Functions and Their Inverses 10 2.8 Finish One-to-One Functions and Their Inverses 3.1 Quadratic functions 11 pp 237-244 Modeling with Functions 3.2 Graphing Polynomials 12 Catchup and Review 13 Exam 2 Covers Chapters 1.7 – 1.12 & Chapter 2 14 3.6 Graphing Rational Functions 3.7 Polynomial & Rational Inequalities 15 4.1 Exponential Functions 4.2 Natural Exponential Functions 16 4.3 Begin Logarithmic Functions 17 4.3 Finish Logarithmic Functions 4.4 Laws of Logarithms 18 4.5 Exponential & Logarithmic Equations 19 4.6 Modeling with Exponential Functions 4.7 Modeling with Logarithmic Scales 20 5.1 The Unit Circle Catch Up and Review 21 Exam 3 Covers Chapters 3 & 4; pp 237-244 22 5.2 Trigonometric Functions of Real Numbers 23 5.3/5.4 Graphing Sine, Cosine & Other Trigonometric Functions 6.1 Measuring Angles 24 6.2 Trigonometric Functions of Real Numbers 6.3 Trigonometric Functions of Angles 25 5.5 Inverse Trigonometric Functions 6.4 Inverse Trigonometric Functions & Right Triangles 26 6.6 Law of Cosines 7.1 Trigonometric Identities 27 7.2 Trigonometric Sums & Differences 7.4 Solving Trigonometric Equations 28 Catchup and Review

## Contacts

Head Advisor

Undergraduate Office

Honors Advisor
Professor Simon Thomas

## Disclaimer: Posted for informational purposes only

This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the current instructor.

Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters. Textbooks should not be purchased until confirmed with the instructor. For generally reliable textbook information—with the exception of sections with an alphabetic code like H1 or T1, and topics courses (197,395,495)—see the textbook list.