# Math 151: Calculus IA (Instructor: Sergei Chmutov)

## Fall 2000 Daily Schedule

# 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=loga y as an inverse of y=ax 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