Math 113, Syllabus:
The textbook for the course is "Trigonometry" by J.D. Baley and G. Sarell, McGraw Hill, revised 3rd edition. The numbers in bold next to each topic indicate which sections in the book correspond to what we are covering in class.
Lecture 1, January 20, 2009
Introduction; 1.1 Angles: Degrees, revolutions, radians; 1.2 Arc length, sector area.
Lecture 2, January 22, 2009
2.6 Definition of trigonometric functions (unit circle), signs of trigonometric functions in different quadrants; 5.1 Pythagorean identity.
Lecture 3, January 27, 2009
2.2 Values of trigonometric functions for 0, 30, 45, 60, 90, 180 degrees.
Lecture 4, January 29, 2009
5.1 Practice with definitions and the Pythagorean identity.
Lecture 5, February 3, 2009
2.3, 2.4 Miracles of science: trigonometric functions and right triangles.
Lecture 6, February 5, 2009
2.5 Applications of right triangles.
Lecture 7, February 10, 2009
3.1, 3.2 Graphing sine and cosine
Lecture 8, February 12, 2009
3.3 Graphing tangent
Lecture 9, February 17, 2009
Review
Lecture 10, February 19, 2009
Midterm 1 (in class)
Lecture 11, February 24, 2009
4.1, 4.2 Inverse trigonometric functions: domain and range
Lecture 12, February 26, 2009
4.2 Inverse trigonometric functions (contd.)
Lecture 13, March 3, 2009
5.1, 5.2, 5.3 Sum and difference identities
Lecture 14, March 5, 2009
6.1, 6.2, 6.4, 7.1, 7.2 Sum and difference identities (contd.)
Lecture 15, March 10, 2009
8.1, 8.2, 8.3 Trigonometric equations
Lecture 16, March 12, 2009
9.1, 9.3 Law of sines and cosines
Spring break, March 14 - March 22, 2009
Lecture 17, March 24, 2009
Review
Lecture 18, March 26, 2009
Midterm 2 (in class)
Last day to drop courses, March 27, 2009
Lecture 19, March 31, 2009
9.4, 9.5 Law of sines and cosines (contd.)
Lecture 20, April 2, 2009
10.1, 10.2 Vectors
Lecture 21, April 7, 2009
10.3 Vectors (contd.)
Lecture 22, April 9, 2009
10.4D, 10.4E Dot product
Lecture 23, April 14, 2009
11.1 Complex numbers
Lecture 24, April 16, 2009
11.2, 11.3 Polar form and DeMoivre's theorem
Lecture 25, April 21, 2009
Review
Lecture 26, April 23, 2009
Midterm 3 (in class)
Lecture 27, April 28, 2009
11.3 Roots
Lecture 28, April 30, 2009
11.3 Roots (contd.)
Lecture 29, May 5, 2009
Review
Lecture 30, May 7, 2009
Review
Final exam, 17:05 May 14, 2009
Last updated: 26 January, 2009