F16-150

Calculus I - Section 005

Fall 2016

Office: Neckers 283 (618-453-6508)
E-mail: kchoiy_at_siu_dot_edu
Office Hours: Mon/Wed 2:00pm-5:00pm, or by appointment. Emails are also available.

Course Website: https://sites.google.com/site/kchoiy/home/teaching/previous-courses/150-f16

Class Meeting: MWRF 1:00pm - 1:50pm in Neckers 156

Textbook: Essential Calculus: Early Transcendentals, 2nd edition by James Stewart (ISBN:9781133112280).

Objectives: Our goal is to learn major concepts and techniques of single variable calculus. The topics include: limit, continuity, differential, and integral of single variable functions, analytic geometry.

We will cover Section 1.1 –1.6, 2.1–2.8, 3.1–3.3, 3.5, 3.6, 4.1–4.7, 5.1–5.5, 7.1–7.3 in the textbook.

Syllabus / Course Schedule: It is required to read carefully our syllabus and schedule linked [here], updated on 10/4/2016.

Exams: There will be four mid-term exams and one final.

Exam 1 (in class on 9/19, Mon) covers Section 1.1 –1.6, 2.1–2.4 (10 sections)
Exam 2 (in class on 10/14, Fri) covers Section 2.5-2.8, 3.1-3.3, 3.5 (8 sections)
Exam 3 (in class on 11/4, Fri) covers Section 4.1-4.5, 4.7 (6 sections)
Exam 4 (in class on 12/2, Fri) covers Section 5.1-5.5, 7.1-7.2 (7 sections) - announced in class and by email on 11/21.
Final Exam (5:00pm-7:00pm on 12/12, Mon; QUIG 140B) will be comprehensive and cover sections 1.1 –1.6, 2.1–2.8, 3.1–3.3, 4.1–4.5, 4.7, 5.1–5.5, 7.1–7.3 - announced by email and in class on 12/5. **NOTE: the place is NOT our regular classroom.

Each HOMEWORK ASSIGNMENT will be posted as below at least one week ahead of the due date (see the Course Schedule linked above for a tentative assignment schedule!):

*HW Policies: You should show all your work and submit it in class on the due date. No late homework will be accepted.*

*The following numbers indicate exercises in our textbook.*

HW 1 (due on 8/31, Wed): #2, 4, 5, 7, 8, 22, 25, 28, 30, 38, 46, 61, 62 in Section 1.1 (p. 8) / #4, 5, 18, 19, 20, 32, 36, 38, 44, 46, 50 in Section 1.2 (p. 21)
HW 2 (due on 9/7, Wed): #3, 4, 6 in Section 1.3 (p.33) / #2, 8, 12, 18, 22, 24, 26, 34, 42, 50, 54, 56 in Section 1.4 (p.43) / #4, 18, 20, 24, 30, 34, 40 in Section 1.5 (p.54)
HW 3 (due on 9/14, Wed): #2, 14, 18, 20, 22, 26, 28, 30, 32 in Section 1.6 (p.67) / #4, 8(a)(b), 10, 12, 16, 32, 34, 36, 42 in Section 2.1 (p.80)
HW 4 (due on 9/28, Wed): #2, 4, 8, 14, 16, 20, 24, 32, 46, 48, 52 in Section 2.5 (p.120) / #4, 8, 12, 14, 18, 20, 22, 28 in Section 2.6 (p.127) / #4, 6, 8 in Section 2.7 (p.132)
HW 5 (due on 10/5, Wed): #2, 12, 18(b), 20, 24 in Section 2.8 (p.138) / #12, 16(a), 18, 24, 26, 30 in Section 3.1 (p.150)
HW 6 (due on 10/19, Wed): #8, 12, 15, 16, 22, 26, 32, 36, 44, 46, 48, 52, 64, 72, 76 in Section 3.2 (p.161) / #2, 4, 6, 10, 16, 24, 32, 40, 46, 48, 50, 56 in Section 3.3 (p.169)
HW 7 (due on 10/26, Wed): #6, 8, 22, 24, 28, 30, 34, 36, 38, 42, 44, 50, 62 in Section 4.1 (p.208) / #2, 4, 6, 12, 16, 24 in Section 4.2 (p.215)
HW 8 (due on 11/9, Wed): #2, 4, 6, 8, 10, 16, 20, 24, 36, 54 in Section 4.3 (p.222) / #6 in Section 4.4 (p.230) / #4, 6, 8, 12, 16 in Section 4.5 (p.238) / #4, 12, 16, 20, 30, 36, 42 in Section 4.7 (p.252)
HW 9 (due on 11/16, Wed): #4, 8, 17 in Section 5.1 (p.266) / #2, 8 (note that n=2, a=-2, b=4), 14, 16, 18, 30, 45 in Section 5.2(p.279)
HW 10 (due on 12/5, Mon): #2, 8, 10, 18, 22, 30 in Section 5.3(p.289) / #2, 6, 20(a)(b) in Section 5.4(p.298) / #4, 6, 8, 16, 22 in Section 5.5(p.306) / #2, 4, 6, 10, 12 in Section 7.1(p.761)

**Recent Updates and Remarks for Math 150 - Section 005 Fall 2016**

[Dec 9, 2016] Lecture 56: Review session 3 for final. Solution for EXAM 4 was handed out.

[Dec 8, 2016] Lecture 55: Review session 2 for final.

[Dec 7, 2016] Lecture 55: Review session 1 for final. Graded EXAM 4/HW 10 were returned.

[Dec 5, 2016] Lecture 54: Section 7.3 - volume by cylindrical shell method, examples. Announcement on Final is made in class and by email / practice problems are distributed.

[Dec 2, 2016] Lecture 53: Exam 4

[Dec 1, 2016] Lecture 52: Review session 2 for EXAM 4 - solved questions on the practice problems. Solution for all practice problems not covered in review sessions is Emailed!

[Nov 30, 2016] Lecture 51: Review session 1 for EXAM 4 - summarized topics in 5.1-5.5 and 7.1-7.2, solved questions on the practice problems. Partial Solutions to assigned Exercises 5.1-5.5 and 7.1-7.3 are handed out.

[Nov 28, 2016] Lecture 50: Section 7.2 - volume of revolutions, some other solids.

[Nov 21, 2016] Lecture 49: Section 7.2 - volume of the rotation in terms of the definite integral, examples. Graded HW 9 was returned / Announcement on EXAM 4 is made in class and by email / practice problems are distributed.

[Nov 18, 2016] Lecture 48: Section 7.1 - application of definite integrals, area of the region between two graphs, examples. HW 10(due 12/5, MON) is assigned.

[Nov 17, 2016] Lecture 47: Section 5.4 - proof of substitution rule, mean value theorem for integrals, examples.

[Nov 16, 2016] Lecture 46: Section 5.3/5.5 - area and definite integral, substitution rule, examples.

[Nov 14, 2016] Lecture 45: Section 5.1/5.2/5.3 - midpoint, left endpoint, right endpoint rules, upper/lower sum, example, how to evaluate the definite integrals, example. Graded HW 8 was returned with Solutions for even numbers.

[Nov 10, 2016] Lecture 45: Section 5.1/5.2 - more about Riemann sum and definite integral, midpoint rule, example.

[Nov 9, 2016] Lecture 44: Section 5.1/5.2 - properties of definite, indefinite integrals, example, introduce Riemann Sum. Solution to exam 3 was handed out. / HW 9(due 11/16, Wed) is assigned.

[Nov 7, 2016] Lecture 43: Section 5.1 - brief outline of integrals, motivations, introduced indefinite integrals, definite integrals, connection between definite integrals and area, example. Graded Exam 3 was returned.

[Nov 4, 2016] Lecture 42: EXAM 3

[Nov 3, 2016] Lecture 41: Review Session 2 for EXAM 3 - solved some questions on the practice problems.

[Nov 2, 2016] Lecture 40: Review Session 1 for EXAM 3 - solved some questions on the practice problems.

[Oct 31, 2016] Lecture 39: Section 4.7 - anti-derivatives, examples, formulae, remarks. Graded HW 7 was returned with Solutions for even numbers.

[Oct 28, 2016] Lecture 38: Section 4.7 - definition of anti-derivatives

[Oct 27, 2016] Lecture 37: Section 4.5 - examples for optimization. Announcement on EXAM 3 is made in class and by email / practice problems are distributed / some solutions for exercises on Chapter 4 are distributed.

[Oct 26, 2016] Lecture 36: Section 4.4/4.5 - sketched a graph, discussed a strategy to solve the optimization questions. HW 8(due 11/9, Wed) is assigned.

[Oct 24, 2016] Lecture 35: Section 4.3/4.4 - 2nd derivative test, sketching a graph. Graded HW 6 was returned with Solutions for even numbers.

[Oct 21, 2016] Lecture 34: Section 4.1/4.3 - strategies to get local min/max, example. Graded Exam 2 was returned with solution and grading rules.

[Oct 20, 2016] Lecture 33: Section 4.1/4.3 - examples for abs min/max, local min/max, strategies to get abs min/max.

[Oct 19, 2016] Lecture 32: Section 4.2 - one more example for MVT / Section 4.1 - introduced absolute min/max, local min/max. HW 7(due 10/26, Wed) is assigned.

[Oct 17, 2016] Lecture 31: Section 3.6 - introduced the def of sinh, cosh, tanh, csch, sech, coth / Section 4.2- introduced the Mean Value Theorem, an application.

[Oct 14, 2016] Lecture 30: Exam 2.

[Oct 13, 2016] Lecture 29: Review Session 2 for EXAM 2 - solved some questions on the practice problems.

[Oct 12, 2016] Lecture 28: Section 3.5 - reviewed and covered derivatives of arcsin, arccos, arctan. Review Session 1 for EXAM 2 - solved some questions on the practice problems. Graded HW 5 was returned.

[Oct 7, 2016] Lecture 27: Section 3.5 - introduce arcsin, arccos, arctan, discussed their domain, range, graph, derivative of arcsin. An in-class announcement on EXAM 2 is made.

[Oct 6, 2016] Lecture 26: Section 3.3 - derivative of a^x and logx, examples. Solution for even numbers in HW 5 and some others for EXAM 2 was handed out.

[Oct 5, 2016] Lecture 25: Section 3.2 - more properties of log, examples to use those properties, relation between log x and a^x, the derivative of the inverse function. HW 6(due 10/19, Wed) is assigned./ Graded HW 4 was returned. / Solution for even numbers in HW 4 was handed out./ An announcement on EXAM 2 is made by E-mail / practice problems are distributed.

[Oct 4, 2016] Syllabus Updated: (a) Sect. 3.6 which was in the coverage of Exam 2 is now moved to that of Exam 3; (b) Due dates for HW 6 and HW 8 are now changed to one week later.

[Oct 3, 2016] Lecture 24: Section 3.2 - defined the logarithm function, graph, properties.

[Sept 30, 2016] Lecture 23: Section 3.2 - 1-1 function implies the existence of the inverse function, how to get the inverse function in an equation as well as in a graph (reflect wrt y=x), examples.

[Sept 29, 2016] Lecture 22: Section 3.1 - properties of y=a^x, introduced y=e^x / Section 3.2 - introduced concept of the inverse function, defined a 1-1 function. Graded Extra HW was returned.

[Sept 28, 2016] Lecture 21: Section 3.1 - discussed objectives in Chapter 3, introduced exponential function, example, graphs, limits. HW 5(due 10/5, Wed) is assigned.

[Sept 26, 2016] Lecture 20: Section 2.8 - defs of the linear approximation and linearization, their concepts, examples, differentials, example.

[Sept 23, 2016] Lecture 19: Section 2.7 - two more word problems / Section 2.8 - introduced the linear approximation, linearization of f(x) at x=a. Solution and grading rules for EXAM 1 was handed out.

[Sept 22, 2016] Lecture 18: Section 2.7 - word problems related to derivatives, suggested strategy, solved an example.

[Sept 21, 2016] Lecture 17: Section 2.5 - introduced the chain rule, examples / Section 2.6 - introduced the implicit differentiation, examples. HW 4(due 9/28, Wed) is assigned. / Graded Exam 1 was returned.

[Sept 19, 2016] Lecture 16: Exam 1

[Sept 16, 2016] Lecture 15: Review Session 2 for EXAM 1 - solved some questions in the set of practice problems. Solution for all practice problems not covered in review sessions is Emailed! Graded HW 3 was returned.

[Sept 15, 2016] Lecture 14: Review Session 1 for EXAM 1 - reviewed all topics from 1.1-1.6 and 2.1-2.4 for EXAM 1.

[Sept 14, 2016] Lecture 13: Section 2.3/2.4 - eight (8) useful formulae for derivatives, examples. Solutions for even numbers in HW 3 as well as in Sections 2.2-2.4 were handed out.

[Sept 12, 2016] Lecture 12: Section 2.2 - more about differentiable, higher derivatives and their notation, how to get a rough graph of f'(x) from that of f(x) / Section 2.3 - simply stated derivatives of constant functions, x^n, sinx, cosx. Graded HW 2 was returned. / Solution for even numbers in HW 2 was handed out./ An announcement on EXAM 1 is made / practice problems are distributed.

[Sept 10, 2016] An Email announcement about Exam 1 is made! / A PDF of Practice Problems is Emailed!

[Sept 9, 2016] Lecture 11: Section 2.2 - understand f'(x) as a function, notion of differentiable, relation between being continuous at x=a and being differentiable at x=a, example f(x)=|x|, how to see differentiability from graphs.

[Sept 8, 2016] Lecture 10: Section 2.1 - introduced the def of derivatives, examples, relation with the slope of tangent line, rate of change.

[Sept 7, 2016] Lecture 9: Section 1.5/1.6 - reviewed intermediate value theorem and more examples; more concepts and examples of limits involving infinity. Graded HW 1 was returned / Solution for even numbers in HW 1 was handed out. HW 3(due 9/14, Wed) is assigned.

[Sept 2, 2016] Lecture 8: Section 1.5 - intermediate value theorem and its application / Section 1.6 - limit involving infinity, definitions of lim x->a f(x) = oo and lim x->oo f(x), how to evaluate them (using a graph; dividing top and bottom by the highest power), examples.

[Sept 1, 2016] Lecture 7: Section 1.5 - definition of continuity, examples, strategy to see the continuity, properties, examples.

[Aug 31, 2016] Lecture 6: Section 1.4 - properties of limits (limit laws), three main techniques to calculate limits, examples. HW 2(due 9/7, Wed) is assigned.

[Aug 29, 2016] Lecture 5: Section 1.3 - introduced the definition of the limit of functions, examples, techniques to evaluate limits, discussed how to show the limit DNE.

[Aug 26, 2016] Lecture 4: Section 1.2 - exponentials, logarithms, trigonometric functions, their graphs, properties, function composite, sum, subtraction, multiplication, three tables to summarize the transformations of functions - shift, reflect, stretch.

[Aug 25, 2016] Lecture 3: Section 1.2 - introduce various kinds of functions, polynomials, power functions, rational functions, give their graphs, examples.

[Aug 24, 2016] Lecture 2: Section 1.1 - graph, examples, increasing, decreasing, even, odd functions. HW 1(due 8/31, Wed) is assigned.

[Aug 22, 2016] Lecture 1: Syllabus distributed / Section 1.1 - definition of functions, examples, domain, range.

[Aug 20, 2016] Corrected two typos in the old syllabus, and Uploaded a new one - (1) MWF in Class Meeting should be "MWRF"; (2) 700 points in Grades is corrected to "100 %." At any rate, see the update Syllabus linked in our course website.

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