Back To Main

Prof. D. Salane
Precalculus, Fall 2006
MAT 141 09

 

Syllabus

Lecture

Sections1

Topics

1

2.1,2.2,2.3

functions: basic concepts, graphs, increasing and decreasing

2

2.4,2.7

transformation of functions, combining functions

3

 

floating lecture2

4

2.8

one-to-one functions and their inverses

5

3.1, 3.3

polynomial functions, graphs, zeros of a polynomial

6

4.1,4.2, 4.5

exponential functions, logarithmic functions, compound interest,

radioactive decay model

7

--

graphing functions in Maple (examples include polynomials and the normal distribution)

8

--

Exam I

9

5.1 - 5.4 

unit circle, trigonometric functions, trigonometric graphs

10

6.1 - 6.3

Angle measure, right triangles, trigonometric functions of angles

11

6.4, 6.5

Law of Sines, Law of Cosines

12

7.1,7.2

trigonometric identities, addition and subtraction formulas

13

7.3,7.4

double- and half-angle formulas, inverse trigonometric functions

14

8.1, 8.2

polar coordinates and equations

15

 

floating lecture

16

 

Exam II

17

9.1-9.3

review of systems of equations

18

9.4

Linear equations and matrices, Gauss-Jordan elimination

19

 

floating lecture

20

10.1, 10.2

parabolas and ellipses

21

10.3, 10.4

hyperbolas, shifted conics

22

10.7

Plane curves and parametric equations

23

 

floating lecture

24

 

Exam III

25

11.1-11.3

sequences and summation notation, arithmetic and geometric sequences

26

12.1,12.2

finding limits numerically, graphically and algebraically

27

 

floating lecture

28

 

final exam

 

 

 

 

 

1 Lectures basically follow the text.  Some lectures, however, use supplemental material.

2 Floating lectures provide time for review, problem solving and Maple exercises.