[01-30] went over the definition of a bound of a function on a set S (0.1), and finding delta to insure the error tolerance (beginning of 1.6).
Quiz 1 on Wed. will cover: Graphs of sin, cos, tan, at least two period w/ correct intercepts, max, min; definition of trig functions, for example, in a right triangle, sec = hyp/adj; trig function values: for example, tan (pi/4) =?
Homework 1 is assigned on Mathzone.
[02-01] covered the concept of one-to-one function, inverse function, and inverse trig functions (0.4). MathZone Homework 2 is assigned.
Quiz #2 on Wed., Feb. 13 will be from: page 34: #3,4, #13-18; page 35: #40; page 46: #37-46.
[02-06] went over the graph of the natural log function, the inverse of the natural log and its connection with e^x (0.5).
[02-08] went over the general exponential function (a^x) and the exponential laws, the definition of f^g and discussed its domain (0.5).
Homework 3 is assigned on Mathzone.
Quiz #3 on Wed., Feb. 20 will be from: page 59: #13-16, #22-26 (without a calculator), #31-40, #41-42, #45-50. page 60: #71.
[02-13] covered cosh x, Hyperbolic identity, other hyperbolic functions, elementary/transcendental functions (0.5), and the definition of the limit (1.2).
Due to the increment weather, the school opened at 10am, so the Section 401 discussion (at 9am) was cancelled. Quiz #2 (section 401 ONLY) will be held on Friday's discussion. Those who took the quiz today are excused from the attendance on Friday.
[02-15] went over special cases of limits: c/0, 0/c, c/infity, infinity/c, limits for basic functions (constant, x, root, sin, cos) and the squeeze theorem, (1.2), (1.3).
Homework 4 is assigned on MathZone.
There is NO QUIZ on Wed., Feb. 27 to review for the first exam which will be on Fri., Feb. 29.
[02-20] covered the case where the Limit Laws (Direct Sub) does not hold immediately (the case which requires simplification of the expression), and the lim(sinx / x) case (1.3).
[02-22] covered the definition of continuity at a point, removable/jump/infinite discontinuities at a point (1.4).
Homework 5 is assigned on MathZone.
[02-27] covered the Bisection Method (1.4) and the definition of the derivative f'(c) (2.2).
Quiz #4 on Wed., Mar. 5, will cover: 1) memorize the definition of f'(c). 2) problem similar to #5,6, page 166. 3) problem similar to #7,8, page 166.
[02-29] Exam #1: chap. 0, 1.1-1.5, took place.
Homework 6 is assigned on MathZone.
[03-05] covered when a graph is not differentiable (discontinuity, vertical tangent, cusp(kink), corner) (2.2).
The graded exam will be distributed on Friday in the discussion, and will go over in the discussion and class.
[03-07] covered the concept of 'derivative function' and its notations, stated power rule (2.3), and went through the exam.
Quiz #5 on Wed., Mar. 12: Use differentiation rules to do the following: #17-20, page 156; finding the instantaneous velocity; #9-12, page 177.
Homework 7 is assigned on MathZone.
[03-12] finished Product and Quotient Rules (2.4).
[03-14] covered the derivatives of Trig functions (2.6).
There is no MathZone homework due on March 21 due to Spring Break.
Quiz #6 on Wed., March 26: 1) memorization of the derivatives of the six trig functions: box on page 200. 2) problems from #1-16, page 186. 3) a problem from #21,22,34,44, page 96.
Final exam will be on Wed., May 21, 1-3pm in LH 7.
Homework 8 is assigned on MathZone.
[03-26] covered the derivative of ln(x) and log_a(x), and the logarithmic differentiation (2.7).
[03-28] covered the steps of implicit differentiation, the derivatives of e^x, and a^x, and arcsin(x) (2.8).
Exam #2, on Friday, April 4, will be on the sections 1.6, and 2.1-2.8 (except the part on the derivative of inv. trig functions). Focus on the notes. Please go to the same place that you went to take exam #1 at the same time slot.
There is no quiz on Wed., April 2.
Homework 9 is assigned on MathZone.
[03-31] covered the derivatives of arctan x and arcsec x (2.8), and the higher-order derivatives (2.3).
As a review of the exam coming up, you may try: page 236: #3-6, 9-14, 15-18, 23-46, page 237: #65-68, 71-74.
[04-02] covered higher-order derivatives in implicit differentiation (2.8), acceleration (2.3), and equation of normal line (a line orthogonal to the curve) (not in the book).
Quiz #7 on Wed., April 9, will be on: 1) finding y'' (page 225: #25-28) 2) find equations of tangent/normal line at a point (class notes) 3) finding n-th derivative of a trig function (class notes).
[04-04] Exam #2 on the sections 1.6, 2.1-2.8 took place.
Homework 10 is assigned on MathZone.
[04-09] done (2.9), and linear approximation (3.1), stopped at the introduction to Newton's method (3.1).
[04-11] done (3.1), covered L'H rule for (0/0) and (infinity/infinity) case (3.2).
Homework 11 is assigned on MathZone.
Quiz #8 on Wed., April 16, will be on: page 225: #29-38, page 234: #1-6, page 234: #9-16, page 234: #17-20.
[04-16] covered Horizontal and Vertical Asymptotes (1.5), (3.5), and the Max/Min and local Max/Min (3.4).
Homework 12 is assigned on MathZone.
[04-18] covered Fermat's theorem, finding abs max/min on a closed interval, critical numbers, how the first and second derivatives affect the shape of a graph, concavity, and inflection points (3.3), (3.4), (3.5).
Quiz #9 on Wed., April 23, will be on the following: page 251: #9,10, page 252: #35-40, pages 263-264: #1-38.
Exam #3, on Friday, May 2, will be on: 2.8 (parts with inverse trig functions), 2.9, 3.1-3.7. Focus on the notes.
[04-23] did an example of curve sketching where needs L'Hopital's rule (3.6), and started Optimization (3.7).
Homework 13 is assigned on MathZone.
[04-25] done Optimization (3.7).
There is no quiz on Wed., April 30.
[04-30] done Related Rates (3.8), started Antiderivatives, stated Power rule in the integration (4.1).
[05-02] Exam #3 on the sections 2.8, 2.9, 3.1-3.7, took place.
Quiz #10 on Wed., May 7, will be on: 1) page 325: #8-11, 2) page 326: #27,28,32. 3) checking on the memorizations of the formulas given in the box on page 347 (bottom)
Homework 14 is assigned on MathZone.
Quiz #11 (due May 14) and #12 (due May 21) will be submitted online (on MathZone).
We take the best 10 hw grades out of 14 homeworks, and the best 8 quiz grades out of 12 quizzes (if you attended the discussion regularly, you will get a one perfect quiz grade).
The final will be on Wed., May 21, in LH 8 (ITE Building), 1-3pm. The final is 150 points and there is NO T/F on the final!!!
[05-07] reviewed Exam I and part of II
[05-09] reviewed Exam II and part of III
Quiz #11 and #12 are assigned on MathZone.
Final week office hours: Tu., May 20, 11-3; Wed., May 21, 10-12:40.
Final exam will be on Wed., May 21, in LH 8 (ITE Building), 1-3pm.