Announcements

• Your Grades.
• Answers to the previous final exams.
• Here is an applet that illustrates roots of complex numbers.
• Test 3 will be over Chapters 10--12. Here is an example of Test 3.
• Final: Tuesday, Dec 11, 10:10 -- 12:10, Ag 102 (Left). Old Finals -- try them!
• Interesting online help: SOS Math. Also, google "trig help" and bookmark your favorite places.
• To refresh basic algebra, go to the Review Course Materials and choose "Math 108".
• Trig online:
  • Trig on WIKIPEDIA. Nice summary.
  • Wiki again: Uses of trigonometry.
  • Trigonometry book from 1914. Very interesting experience.
• Here is the schedule for Help Sessions. Very valuable!
• Supplementary text: Shaum's Outlines: Trigonometry (third edition) by R. Moyer & F. Ayres. Lots of solved exercises.
• Check out this applet for adding waves.
• Our syllabus.

Classes

week 1

[20 Aug]

Lecture 1: Introduction.
Lecture 2: Thales Theorem (+ Survey)
Lecture 3: Area. Units.

Read: Chapter 1 Sections 1 -- 9 and Excursion E: Golden Ratio (p1-28).
Other activities: Qi Gong (page 1-30 top). Also try problems A, C, D and E of Section 5 (page 1-12). Search Web for "golden ratio".
Homework (due Monday, Sep 5) includes: Chapter 1, Exercises: 1--6  (all). Problems: 1, 2, 4, 7--11, 15-18. Also 26--28.

week 2

[27 Aug]

Lecture 4: Pythagorean Theorem.
Lecture 5: Pythagorean Theorem and applications.
Lecture 6: More applications.

Homework Read: Chapter 2 Sections 1 -- 9.
Chapter 2, Exercises: All. Problems: 1, 2, 5, 7, 10, 12, 15. (due Monday, Sep 10):
Other activities: Qi Gong (page 2-15 top). Read (for fun) Excursion A (on Pythagorean Triples) and Excursion C (on Pyramids of Giza). Also, you can try Problem 8.

week 3

[3 Sep]

Lecture 7: Angles -- different measures.
Lecture 8: More about angles.

Read: Chapter 3 Sections 1 -- 6, and 8-10. Also, Excursion E.
Other activities: Qi Gong (page 3-19 top). Read (for fun) Excursion B (on Golden Angle),
Excursion C (on light and mirrors), and Excursion F (Mnemonics).
Homework (due Wednesday, Sep 14): Chapter 3, Exercises: 1--11. Problems: 3, 5--8, 13.
Extra credit: Problems 14 and 4. Conversation topics: Problems 1,2,3.

week 4

[10 Sep]

Lecture 9: Trigonometric functions - intro.
Lecture 10: Trig functions - continued.
Lecture 11: Simple applications (Ch5).

Read: Chapter 4a Sections 1 -- 7.
Other activities: Qi Gong (page 4a-12 top).
Homework (due Monday, Sep 24): Chapter 4a, Exercises: 1--9 (All). Problems: 1, 2, 3, 4.

Read: Chapter 5 Sections 1 -- 3.
Other activities: Qi Gong (page 5-13 top).
Homework (due Mon, Sep 24): Chapter 5, Exercises: 1--9. Problems: 1--4. Optional: 5.

week 5

[17 Sep]

Lecture 12: More simple applications.
Lecture 13: More on trig functions (Ch. 4b)
Lecture 14: More on trig functions.

Read: Chapter 4b Sections 1--7 and Excursion B. Optional Sec. 8.
Other activities: Qi Gong (page 4b-17 top).
Homework (due Friday, Sep 28): Chapter 4b, Exercises: 1--4. Problems: 1, 5 (and possibly more).

week 6

[24 Sep]

Lecture 15: Review
Lecture 16: Review
Lecture 17: Test 1

week 7

[1 Oct]

Lecture 18: Sinusoid (Ch 6)
Lecture 19: More on the sinusoids
Lecture 20: Identities (Ch 7a)

Read: Chapter 6 Sections 1 -- 3 (Sec 4 and Excursion A optional)
Homework (due Mon, Oct 10): Chapter 6, Exercises: 1--6 (you may skip 4).

Read: Chapter 7a. (View Excursion A)
Other activities: Qi Gong (page 7a-8 top).
Homework (due Mon, Oct 15): Chapter 7a, Exercises: 1--4, 5a-d, 6acd. Problems: 2.

week 8

[7 Oct]

Lecture 21: More on identities
Lecture 22: Adding and Doubling angles (Ch 7b)
Lecture 23: More on doubling angles

Read: Chapter 7b Sections 1 -- 4
Other activities: Qi Gong (page 7b-21 top).
Homework (due Fri, Oct 19): Chapter 7b, Exercises: 1--10. Problems: 1b, 5, 9, 10, 11, 15a.

week 9

[14 Oct]

Lecture 24: Half-angles (Ch 7)
Lecture 25: Adding sines
Lecture 26: Weierstrass substitution formulas

Read: Chapter 7b Sections 5-6.
Other activities: Qi Gong (page 7b-21 top). Befrend page 7b-17.
Homework (due Fri, Oct 26): Chapter 7b, Exercises: 11--13. Problems: 6,8, 13abc.

week 10

[22 Oct]

Lecture 27: More on identities
Lecture 28: Triangles
Lecture 29: Triangles

Read: Chapter 8 Sections 1 -- 4
Other activities: Qi Gong (page 8-17 top).
Homework (due Fri, Nov 4): Chapter 8, Exercises: 1 and 4 (2 and 3 are optional). Problems: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11.

week 11

[29 Oct]

Lecture 30: More on triangles
Lecture 31: Triangles in a circle (fragments of Chapter 9)
Lecture 32: Trigonometric equations (Chapter 10)

Test 2 next week

week 12

[4 Nov]

Lecture 33: More Trig equations
Lecture 34: Test 2
Lecture 35: Vectors and scalar product (Ch 11)

Read: Chapter 10 Sections 1 -- 3 (Math majors 4 and Excursion A).
Homework (due Mon, Nov 26): Chapter 10, Exercises: 1, 2, 3, 4. Problems: 1 abcdf. .

week 13

[11 Nov]

Lecture 36: Polar coordinates
Lecture 37: Complex numbers (Ch 12)
Lecture 38: FTQ

Read: Chapter 11 Sections 1 -- 2 and Excursion A.
Homework (due Mon, Nov 26): Chapter 11, Exercises: 1, 2, 3 and Page 11-17 Exercises: 1, 2, 3.

Read: Chapter 12 Sections 1 -- 5 (a few times).
Homework (due Mon, Nov 26): Chapter 12, Exercises: 1, 2, 3, 4. Try 5 and 6. and Problems: 1, 2.

week 14

[26 Nov]

Lecture 39: Complex nrs - polar form, de Moivre formula, Eulers formula
Lecture 40: Complex nrs - roots
Lecture 41: Complex nrs - review

Read: Chapter 12 Sections 3 -- 7.
Homework (due Mon, Dec 3): Chapter 12, Exercises: 5abc ghf, 6, 7, 8, 9, 10, 11, 12 at least abcdef. Also Problem 3b.

week 15

[3 Dec]

Lecture 42: Test 3
Lecture 43: Review: Q&A
Lecture 44: Review: Q&A

Here are some previous final exams.