SSEA Math Module - Summer 2012 - 41 track

SSEA Math Module 2012 - 41 Track

Email: henry dot adams at colostate dot edu

Teaching Assistants: Poni Bepo and Ifueko Igbinedion
Emails: pbepo at stanford dot edu and ifueko at stanford dot edu

Textbook: Single Variable Calculus: Concepts and Contexts, 4th edition, by Stewart.
This is the textbook for the single variable calculus classes (Math 19, 20, 21, 41, and 42) during the school year.

Schedule: In the table below, lectures are in red and sections are in blue. Discussion problems will be listed for each section.

 Week 1 Aug 6 Diagnostic Test Aug 7 The Tangent Problem Limits §2.1-2.3 Aug 8 Section §2.1: #1 §2.2: #5, 15 §2.3: #1, 9, 11, 15, 21 Aug 9 Limits and Continuity Limits Involving Infinity §2.3-2.5 Aug 10 Section §2.3: #31 §2.4: #17, 43 §2.5: #3, 19, 23, 27, 33 Week 2 Aug 13 Derivatives Derivatives of Common Functions Product and Quotient Rules §2.6-2.7, 3.1-3.3 Homework 1 due Aug 14 Section §2.6: #23, 37 §2.7: #27 §3.1: #15 §3.2: #19, 25 §3.3: #7, 15 Aug 15 The Chain Rule Antiderivatives and Graphing §3.4, 2.7-2.8 Aug 16 Section §3.4: #1, 9, 21, 29 §2.7: #5 (precision not required), 41 §2.8: #1, 19 Aug 17 Finding Maxima and Minima Mean Value Theorem Optimization §4.2-4.3, 4.6 Homework 2 due Week 3 Aug 20 Section §4.2: #5, 45, 51 §4.3: #9 (and sketch the graph), 33, 66 §4.6: #3, 23 Aug 21 Optimization Linear Approximation §4.6, 3.9 Aug 22 Section §4.6: #11, 15, 25, 45, 54 §3.9: #7, 15, 17 Aug 23 Areas Under Curves Approximating Areas with Rectangles Evaluating Basic Integrals §5.1-5.3 Homework 3 due Aug 24 Section §5.2: #5, 11 (do not simplify), 31 §5.3: #7, 25, 43, 53, 61 Week 4 Aug 27 Fundamental Theorem of Calculus Substitution Integration by Parts §5.4-5.6 Aug 28 Section §5.4: #7 §5.5: #9, 19, 45, 47 §5.6: #3, 17, 27 Aug 29 Math riddles and other tricks (not tested) §6.1-6.3 Homework 4 due Aug 30 Final Exam

Homework: Homework is due every four days, in lecture. The challenge problems are optional, and you should only attempt them after you finish the homework. Please submit the challenge problems on a separate page, and please do not worry if you cannot solve the challenge problems!

Homework 1, due Monday Aug 13 in lecture.
§2.1: #2
§2.2: #6, 14
§2.3: #2, 10, 18, 22, 32
§2.4: #8, 16, 42, 55
§2.5: #4, 20, 24, 34 (hint: try multiplying the numerator and denominator by something)
Challenge problems 1.

Homework 2, due Friday Aug 17 in lecture.
In the problems from §2.6-2.7, compute all derivatives directly from the definition.
§2.6: #26(a), 34
§2.7: #4, 26, 42
§2.8: #4, 20
§3.1: #22
§3.2: #20, 26
§3.3: #4, 16
§3.4: #2, 12, 18, 32
Challenge problems 2.

Homework 3, due Thursday Aug 23 in lecture.
§4.2: #6, 46, 50
§4.3: #12, 38, 65
§4.6: #8, 12, 26, 34
§3.9: #6, 16, 18, 22(a)
Challenge problems 3.

Homework 4, due Wednesday Aug 29 in lecture.
§5.2: #2, 12 (do not simplify), 32
§5.3: #6, 18, 44, 54, 62
§5.4: #8
§5.5: #14, 26, 42, 44
§5.6: #4, 10, 26
Challenge problems 4.

Practice Final Exam:
Here is a practice final exam, and here are solutions.

Final Exam:
Here is the final exam and here are solutions. This test was not short or easy. The mean was 65.7, the median was 68, and the standard deviation was 12.3. I predict that grades between 68 and 100 would be on pace for an A during the term, that grades between 50 and 67 would be on pace for a B, and that grades 49 or below would be on pace for a C.

Notes:
Can an endpoint be a local max? The book and I disagree. Here is an explanation (August 21).