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

1.12

Modeling Variation

11

pp 237-244

Modeling with Functions

3.1

Quadratic functions

12

3.2

Graphing Polynomials

Catch up and Review

13

Exam 2

Covers Chapters 1.7 – 1.12 & Chapter 2

14

3.3

Dividing Polynomials

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

 

Schedule of Sections:

 

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.