# | Date | Topics | Homework |
---|---|---|---|
0 | 9/8 (Fri) | Quiz #0 | - |
1 | 9/11 (Mon) | General notion of function. Domain. Range. Functions in one variable. Three ways to represent a function. | Sec. 1.1, p.5-7. #: 1,9,12,16,19 |
2 | 9/13 (Wed) | Linear functions. Power functions. | Reading: Sec. 1.2 and 1.4. p.11-12. #: 2,6,10,18 p.29. #: 1,2,10 |
3 | 9/18 (Mon) | Polynomials. Rational functions. | Reading: Sec. 1.10. p.64-65. #: 1(a),4,5,17,20(a) |
4 | 9/20 (Wed) | Exponential functions. | Reading: Sec. 1.3. p.21-23. #: 7,8,20,24,25 |
5 | 9/25 (Mon) | Inverse function. Logarithms. x=log_{a} y as an inverse of y=a^{x} | Reading: Sec. 1.5 and 1.6 p.34. #: 6,7,17 p.39. #: 4,14 |
6 | 10/02 (Mon) | Logarithms with different bases. Logarithms with bases 10 and e. | Reading: Sec. 1.6 and 1.7 p.39. #: 7,17 p.44. #: 4,14,26 |
7 | 10/04 (Wed) | Trigonometric functions. Introduction from geometry. Simplest relations. | Homework #7 Due Wed. Oct. 18 |
8 | 10/11 (Wed) | Radians. Trigonometric functions of radians. Inequality cos x < sin(x) / x < x for small x. Oscillating processes. Amplitude, period, phase difference. | Reading: Sec. 1.9 p.58-59. #: 19,20,25,26,28 Due Fri. Oct. 20 |
9 | 10/16 (Mon) | Test #1 | No homework! |
10 | 10/18 (Wed) | Notion of limit. Instantaneous velocity. Slope of the tangent line to a graph. | Reading: Sec. 2.1 p.94-95. #: 7,9,10,14,19 Due Wed. Oct. 25 |
11 | 10/23 (Mon) | Notion of derivative. Derivative at a point. Derivative functions. | Reading: Sec. 2.2 and 2.3 p.103. #: 11,12 p.110. #: 4,13,14,27 Due Mon. Oct. 30 |
12 | 10/25 (Wed) | Derivative of a function given by a table. Second derivative. Concavity. | Reading: Sec. 2.5 p.120. #: 2,3,4,6,18 Due Wed. Nov. 1 |
13 | 10/30 (Mon) | The power rule. Derivatives of sum, difference and scalar multiplication. | Reading: Sec. 4.1 p.195. #: 4--24, except 13,14,18,20,22,24 Due Mon. Nov. 6 |
14 | 11/1 (Wed) | The product rule. The quotient rule. | Reading: Sec. 4.3. p.206. #: 8,9,10,11,12,14,15,16,17,18,19,20,22 Due Wed. Nov. 8 |
15 | 11/6 (Mon) | The chain rule. | Reading: Sec. 4.4 p.211. #: 1,2,3,4,5,6,9,13,14,15,16,17,18,19,21,22,23,24,25,29 Due Mon. Nov. 13 |
16 | 11/8 (Wed) | Derivatives of exponential functions. Derivative of an inverse function. | Reading: Sec. 4.2., from Sec.4.6 p.201. #: 1,2,3,4,5,6,7,8,10,11,12,14,15,18,19,20, p.222. #: 1,2,3,7,9,12,14 Due Wed. Nov. 15 |
17 | 11/13 (Mon) | Derivatives of trigonometric functions. | Reading: Sec. 4.5 p.217. #: 2-30, except 11,14,15,16,18,20,25,26,27,29,30 Due Mon. Nov. 20 |
18 | 11/15 (Wed) | Linear approximation. Differentiation of implicit function. | Reading: Sec. 4.7., Sec.4.8 p.226. #: 1--15, except 6,7,11, p.232. #: 1,2,3 Due Wed. Nov. 29 |
19 | 11/20 (Mon) | Test #2 | No homework! |
20 | 11/27 (Mon) | Applications of derivatives. Maxima. Minima. Critical points. Optimization. | Reading: Sec. 5.3 p.259. #: 2,3,4,12 and one extra problem. Due Mon. Dec. 4 |