Course syllabus:

No. Date Sections Homework problems Due date Suggested problems
1 6/13 Introduction to this course.

6.1 Trigonometric functions of acute angles

6.2 Algebra and the trigonometric functions

6.3 Right-Triangle Application

 

6.1:  41

6.2:  48, 59

6.3:  10, 31

6/22  

6.1:  11, 35, 39, 46(a)

6.2:  26, 36, 47, 58, 61

6.3:  13(a), 20, 25, 29

2 6/15

6.4 Trigonometric Function of Angles

6.5 Trigonometric identities

7.1 Radian measure

6.4:  45, 63

6.5:  27

7.1:  35

6/22

6.4:  39, 47, 64, 69 

6.5:  12, 35, 38(b), 42, 49

7.1:  14, 17, 25, 39, 43

3 6/20

7.2 Radian Measure and Geometry

7.3 Right-Triangle Applications

7.4 Graphs of the Sine and Cosine Functions

7.2:  30

7.3:  43, 54

7.4:  56, 60

6/29

7.2:  7, 12, 19, 33(a), 38

7.3:  30, 35, 48, 57, 64

7.4: 40, 39, 54(a)

4 6/22

 7.5 Graphs of y = A sin(Bx-C) and y = A cos(Bx-c)

7.6 Simple Harmonic Motion

7.7 Graphs of the Tangent and the Reciprocal Function

7.5:  32, 52

7.6:  None

7.7:  51

6/29

7.5:  11, 23, 33, 42, 54

7.6:  1

7.7:  15(a), 20(b), 47, 48, 56

5 6/27

8.1 The addition Formulas

8.2 The double-angle Formulas

8.3 The product-to-sum and sum-to-product formulas

8.1:  49, 67

8.2:  55

8.3:  38, 40

7/8

8.1:  28, 46, 62, 66, 71, 80

8.2:  13, 24, 33, 43, 54, 58

8.3:  30, 33, 37, 41, 43

6 6/29 Quiz 1

8.4 Trigonometric equations

8.5 The inverse trigonometric functions

9.1 The law of sines and the law of cosines

 

8.4:  49, 78

8.5:  64

9.1:  33

7/8

 

8.4:  20, 37, 43, 73, 80, 84

8.5:  16, 24, 40, 53, 68, 86

9.1:  4, 13, 35, 41, 46

7 7/4 Independent day.  No class. No homework.    
8 7/6

9.2 Vectors in the plane: a geometric approach

9.3 Vectors in the plane: an algebraic approach

9.4 Parametric equations

9.2:  29, 39

9.3:  62

9.4:  20

7/13

9.2:  27, 33, 49, 52

9.3:  27, 32, 50, 70, 71

9.4:  3, 17, 23, 30, 38

9 7/11

9.5 Introduction to polar coordinates

9.6 Curves in polar coordinates

10.1 Systems of two linear equations in two unknowns

9.5:  35, 49

9.6:  33

10.1:  28, 43

7/20

9.5:  14, 22, 39, 51, 53

9.6:  8, 31, 38, 41, 43

10.1:  4, 12, 17, 34, 45, 50

10 7/13

10.2 Gaussian elimination

10.3 Matrices

10.4 The inverse of a square matrix

10.2:  28

10.3:  21, 56

10.4:  36

7/20

10.2:  19, 34, 39, 29

10.3:  13, 19, 51, 59, 60

10.4:  5, 19, 30, 39, 53, 54

11 7/18 Quiz 2

10.5 Determinants and Cramer's rule

10.6 Nonlinear systems of equations

10.7 Systems of inequalities

 

10.5:  46

10.6:  38

10.7:  23

7/27  

10.5:  14, 38, 55, 62, 63

10.6:  12, 22, 30, 39, 42, 46

10.7:  17, 21, 27, 33

12 7/20

11.1 The basic equations

11.2 The parabola

11.3 Tangents to parabolas (optional section)

11.4 The ellipse

11.1:  32

11.2:  33

11.3  8

11.4:  35

7/27 11.1:  14, 22, 26, 37

11.2:  21, 25, 29, 31, 35

11.3:  5, 10, 12

11.4:  8, 26, 34, 46, 54

13 7/25 11.5 The hyperbola

11.6 The focus-directrix property of conics

11.7 The conics in polar coordinates

11.8 Rotation of Axes

11.5:  39

11.6:  13

11.7:  14

11.8:  16

8/1 11.5:  15, 24, 29, 36, 44

11.6:  4, 9, 11, 12, 14

11.7:  1, 3, 5, 17

11.8:  2, 4, 19, 40, 42, 44

14 7/27 12.1 The complex number system

12.2 Division of polynomials

12.3 The remainder theorem and the factor theorem

12.4 The fundamental theorem of algebra

12.1:  66, 71

12.2:  45

12.3:  31

12.4:  34

8/1 12.1:  6, 38, 47, 60, 65, 72

12.2:  8, 30, 42, 47, 50

12.3:  19, 26, 27, 48, 56

12.4:  18, 23, 38, 27, 51

15 8/1 12.5 Rational and irrational roots

12.6 Conjugate roots and Descartes' rule of signs

12.7 Introduction to partial fractions

12.8 More about partial fractions

No homework.   12.5:  3, 16, 27, 28, 32

12.6:  2, 21, 24, 31, 41

12.7:  2, 13, 22, 24, 27

12.8:  12, 24, 35, 38, 41, 49

16 8/3 Final exam Good luck!