
Syllabus

Lecture^{ }

Sections^{1}

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
lecture^{2}

4

2.8

onetoone
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 halfangle formulas, inverse trigonometric functions

14

8.1, 8.2

polar
coordinates and equations

15


floating
lecture

16


Exam
II

17

9.19.3

review
of systems of equations

18

9.4

Linear
equations and matrices, GaussJordan 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

11.111.3

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.

