17fall_150

Calculus I - Section 3

- Fall 2017 -

Instructor: Kwangho Choiy

• Office: Neckers 283 (618-453-6508)

• E-mail: kchoiy_at_siu_dot_edu 

• Office Hours: Mon/Wed/Fri 11am-noon; Wed 1-4pm, or by appointment. Emails are also available.

Course Website: https://sites.google.com/site/kchoiy/home/teaching/f17_150

Class Meeting: MonTueWedFri 10:00am - 10:50am in EGRD 132 

                                                + Thur at the same time and place – TA teaching by Chamila Ranaweera (ranawera_at_siu_dot_edu) 

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

Objectives/Topics: 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, 4.1-4.5, *4.6, 4.7, 5.1-5.5, 7.1-7.3 (*= tba in due course whether to cover) in the textbook.  

Syllabus / Course Schedule: It is required to read carefully our syllabus and schedule linked [here], updated on 8/27/2017.

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

1. Exam 1 (in class on 9/15, Fri) covers Section 1.1 –1.6, 2.1–2.4 (10 sections) --- Practice Problems

2. Exam 2 (in class on 10/20, Fri) covers Section 2.5--2.8, 3.1--3.3, 4.1, 4.3 (9 sections) --- Practice Problems, Partial Sol

3. Exam 3 (in class on 12/1, Fri) covers Section 4.4, 4.5, 4.7, 5.1–5.5, 7.1–7.3 (11 sections)  --- Practice Problems, Prartial Sol

4. Final Exam (10:15am-12:15am on 12/11, Mon; LIND 133) will be comprehensive and covers sections 1.1-1.6 (“LIMITS”) + 2.1-2.8, 3.1-3.3, 4.1-4.5 (“DERIVATIVES”) + 4.7, 5.1-5.5, 7.1-7.3 (“INTEGRALS”) --- Prac Prob I (Techniques for Limits and Derivatives); Prac Prob II (Word Problems / Extreme Values / Sketching Graphs); Prac Prob III (Integrals).

Quizzes: Each quiz will be generally taken in class every Friday, otherwise will be announced in due course before the date (**see the Course Schedule linked above for a tentative Quiz schedule). Quizzes are from Worksheets which are distributed a week ahead of time in class as well as liked below. *Quiz Policies are written in the syllabus and each Worksheet.

1. Quiz 1 (scheduled for 8/25, Fri) from Worksheet 1 (uploaded on 8/18, Fri)

2. Quiz 2 (scheduled for 9/1, Fri) from Worksheet 2 (uploaded on 8/25, Fri)

3. Quiz 3 (scheduled for 9/8, Fri) from Worksheet 3 (uploaded on 9/1, Fri)

4. Quiz 4 (scheduled for 9/22, Fri) from Worksheet 4 (uploaded on 9/15, Fri)

5. Quiz 5 (scheduled for 9/29, Fri) from Worksheet 5 (uploaded on 9/22, Fri) 

6. Quiz 6 (scheduled for 10/6, Fri) from Worksheet 6 (uploaded on 9/29, Fri)

7. Quiz 7 (scheduled for 10/13, Fri) from Worksheet 7 (uploaded on 10/6, Fri) 

8. Quiz 8 (scheduled for 10/27, Fri) from Worksheet 8 (uploaded on 10/20, Fri)

9. Quiz 9 (scheduled for 11/3, Fri) from Worksheet 9 (uploaded on 10/27, Fri)

10. Quiz 10 (scheduled for 11/10, Fri) from Worksheet 10  (uploaded on 11/3, Fri)

11. Quiz 11 (scheduled for 11/17, Fri) from Worksheet 11 (uploaded on 11/10, Fri)

12. Extra Assignment: #1, #7, #8(6)(8),  #9(6), #10(3), #18, #20, #21, Exercise #6 in Section 7.3 in Practice Problems for Exam 3 /  #2(4), #3(7)(8), #12, #13(2) in Practice Problems for Exam 2 / #7, #8 in Practice Problems for Exam 1.

Tutoring Information: COS Study Area Tutoring: Monday - Thursday 4-9 p.m (http://math.siu.edu/courses/course-help.php)

Updates and Remarks - MATH150-003 - Fall 2017:

[Dec 8, 2017] Lecture 58: Review Session IV for Final - Solved questions in Practice Problems II and III.

[Dec 6, 2017] Lecture 57: Review Session III for Final - Solved questions in Practice Problems I and II.

   -- Practice Problems III(Integrals) is handed out. // Graded EXAM 3 with solution was returned.

[Dec 5, 2017] Lecture 56: Review Session II for Final - Solved questions in Practice Problems I.

   -- Practice Problems II(Word Problems / Extreme Values // Sketching Graphs) is handed out.

[Dec 4, 2017] Lecture 55: Review Session I for Final - Review important concepts and ideas to evaluate limits and derivatives, Solved several questions in Practice Problems I.

   -- Practice Problems I(Techniques for Limits and Derivatives) is handed out. // An announcement about Final is made with plan for Review Sessions during this whole week!

[Dec 3, 2017] E-mail announcement for Final.

[Dec 1, 2017] Lecture 54: Exam 3 taken. 

[Nov 29, 2017] Lecture 53: Review Session - solved/discussed the practice problems for EXAM 3. 

   -- An additional note for Prac. Prob. is E-mailed.

[Nov 28, 2017] Lecture 52: Review Session - solved/discussed the practice problems for EXAM 3. 

[Nov 27, 2017] Lecture 51: Sections 7.3 - introduced the cylindrical shell method, motivating example.

[Nov 21, 2017] Lecture 50: Section 4.2, 5.4: Mean Value Theorem for integrals, meaning, example / Section 3.5: introduced arcsin x, arccos x, arctan x by recalling the concept of inverse functions, discussed their domains, ranges, graphs, derivatives, integrals.

   -- Graded Quiz 11 was returned.

[Nov 20, 2017] Lecture 49: Section 4.2, 5.4: Mean Value Theorems for derivatives, integrals, state both theorems, explained meaning in a graph recalling the intermediate value theorem, examples. 

[Nov 19, 2017] E-mail about Exam 3 and Plan for upcoming classes is sent! / A set of Practice Problems is E-mailed!

[Nov 17, 2017] Lecture 48: solved some questions on WS11. 

   -- Quiz 11 is taken./ Solution of Quiz 11 is handed out.

[Nov 15, 2017] Lecture 47: Sections 7.1,7.2 - volumes and definite integrals for a general solid - the cases of rotating about x=a or y=b; the case when cross-section is no longer washers, examples.

   -- An additional note for WS11 is E-mailed.

[Nov 14, 2017] Lecture 46: Sections 7.1,7.2 - introduced volumes and definite integrals, solved two questions for volumes of solid of revolutions w.r.t. dx and dy, gave two formulae from the two questions.

   -- Graded Quiz 10 was returned.

[Nov 13, 2017] Lecture 45: Sections 7.1,7.2 - two main ideas to get areas and volumes, solved two questions for areas w.r.t. dx and dy, gave two formulae from the two questions.

[Nov 10, 2017] Lecture 44: outline of the goals of the next week, solved some questions on WS10. 

   -- Quiz 10 is taken./ Solution of Quiz 10 is handed out. // Worksheet 11 for Quiz 11(scheduled for 11/17, Fri) is handed out.

[Nov 8, 2017] Lecture 43: Sections 5.1,5.2,5.4 - midpoint, upper, lower sum, Fundamental Theorem for Calculus, applications/examples from WS10.

[Nov 7, 2017] Lecture 42: Sections 5.1,5.2,5.4 - Riemann sum, right endpoints, left endpoints, examples.

   -- Graded Quiz 9 was returned. // An additional note for WS10 is E-mailed.

[Nov 6, 2017] Lecture 41: Sections 5.1,5.2,5.4 - introduced Riemann sum, motivating examples. 

[Nov 3, 2017] Lecture 40: Sections 5.1,5.2,5.4 - introduced meanings of definite integrals, examples. 

   -- Quiz 9 is taken./ Solution of Quiz 9 is handed out. // Worksheet 10 for Quiz 10(scheduled for 11/10, Fri) is handed out.

[Nov 1, 2017] Lecture 39: Sections 4.7,5.3,5.5 - introduced substitution rule, motivating examples, solved problems from WS9.

[Oct 31, 2017] Lecture 38: Sections 4.7,5.3,5.5 - more properties, formulas for integrals, examples. 

   -- Graded Quiz 8 was returned. 

[Oct 30, 2017] Lecture 37: Sections 4.7,5.3,5.5 - introduced anti-derivatives, motivating examples, general anti-derivative functions, indefinite integrals, definite integrals, properties, formulas, examples.

[Oct 27, 2017] Lecture 36: Outlined what to cover in the next week; introduced rough concepts of integrals. Solved a question from WS 8. 

   -- Quiz 8 is taken.// Solution of Quiz 8 is handed out. // Worksheet 9 for Quiz 9(scheduled for 11/3, Fri) is handed out.

[Oct 25, 2017] Lecture 35: Section 4.5 - more questions and techniques related to optimization. / Reviewed Exam 2. 

   -- Solution and grading rules for EXAM 2 was handed out.// An additional note for WS8 is E-mailed.

[Oct 24, 2017] Lecture 34: Section 4.4 - #5 in WS 8, asymptotes / Section 4.5 - strategy to solve optimization-related questions, example. 

[Oct 23, 2017] Lecture 33: Section 4.4 - strategy to get a graph, using information on (1) derivatives (2) limits (3) elementary computations, example.

[Oct 20, 2017] Lecture 32: Exam 2 taken. 

   -- Worksheet 8 for Quiz 8(scheduled for 10/27, Fri) is handed out.

[Oct 18, 2017] Lecture 31: Review Session - solved/discussed the practice problems for EXAM 2. 

   -- Graded Quiz 7 was returned // An additional note (some exercises in Section 4.3) for Prac. Prob. is E-mailed.

[Oct 17, 2017] Lecture 30: Section 4.3 - reviewed concave up/down, inflection points, related arguments, solved #11 in Prac. Problem.

[Oct 16, 2017] Lecture 29: Section 4.3 - introduced two techniques to get local min/max, examples in both ways, defined inflection points, motivating example, f''>0 =>  f' increasing => f is convcave up /  f''<0 =>  f' decreasing => f is convcave down.

[Oct 13, 2017] Lecture 28: Section 4.1 - reviewed techniques to get abs min/max, definition of a critical points, Ex#6 in Section 4.1, added "f'(c) DNE" to the def of critical points, examples. 

   -- Quiz 7 is taken.// Solution of Quiz 7 is handed out // An announcement about Exam 2 is made! / A set of Practice Problems is handed out!

[Oct 11, 2017] Lecture 27: Section 4.1 - techniques to get abs min/max, definition of a critical points, examples to apply the techniques, a strange example to understand/extend knowledge of extreme values further. 

   -- Graded Quiz 6 was returned // An additional memo for today class was E-mailed.

[Oct 6, 2017] Lecture 26: Section 4.1;4.3 - introduced absolute min/max & local min/max, example, motivated its connection with derivative, in particular, f'(x)=0. 

   -- Quiz 6 is taken.// Solution of Quiz 6 is handed out. // Worksheet 7 for Quiz 7(scheduled for 10/13, Fri) is handed out.

[Oct 4, 2017] Lecture 25: Section 3.3 - derivatives related to a^x and log_a x, several questions in WS 6.

[Oct 3, 2017] Lecture 24: Sections 3.2-3.3 - reviewed the graphs of log, discussed limits, introduced properties, a^x=y <=> x=log_a (y), examples, ln x = log_e (x), derivative of ln x. 

   -- Graded Quiz 5 was returned.

[Oct 2, 2017] Lecture 23: Sections 3.1-3.3 - properties of a^x, examples for limits and derivatives for a^x, some questions from WS 6, defined the logarithm and gave graphs.

[Sep 29, 2017] Lecture 22: Section 3.1 - reviewed graphs of y=a^x, example for limit related to the exponential functions. 

   -- Quiz 5 is taken.// Solution of Quiz 5 is handed out. // Worksheet 6 for Quiz 6(scheduled for 10/6, Fri) is handed out.

[Sep 27, 2017] Lecture 21: Section 3.2 - reviewed two concepts of the inverse functions and 1-1, f(x) is 1-1 <=> f^{-1}(x) exists, the formula for derivative of f^{-1}(x) and its proof, example / Section 3.1 - introduced the exponential function y=a^x, graphs, e, examples. 

   -- An additional notes having summary of Section 2.8, 3.2, 3.1 and Partial Solutions for WS 5 is handed out. // The coverage of Quiz 5 was reduced as announced by email with a PDF file of the additional notes. 

[Sep 26, 2017] Lecture 20: Section 3.2 - motivating example of the inverse function, steps for how to get the inverse function, 1-1 function, examples. 

   -- Graded Quiz 4 was returned.

[Sep 25, 2017] Lecture 19: Section 2.8 - review the linear approximation and linearization, their concepts, more examples from WS 5, definition of differentials, example. 

   -- An additional note having Partial Solutions for WS 5 is emailed.

[Sep 22, 2017] Lecture 18: Section 2.7 - solved a question on WS 4 / Section 2.8 - definitions of the linear approximation. 

   -- Quiz 4 is taken.// Solution of Quiz 4 is handed out. // Worksheet 5 for Quiz 5(scheduled for 9/28, Fri) is handed out.

[Sep 20, 2017] Lecture 17: Reviewed Exam 1. 

   -- Solution and grading rules for EXAM 1 was handed out.

[Sep 19, 2017] Lecture 16: Section 2.6 - reviewed the implicit differentiation, a couple of examples / Section 2.7 - set up steps/solved word problems related to derivatives. 

[Sep 18, 2017] Lecture 15: Section 2.5 - introduced the chain rule, examples / Section 2.6 - introduced the implicit differentiation, motivating example.

[Sep 15, 2017] Lecture 14: Exam 1 taken. 

   -- Worksheet 4 for Quiz 4(scheduled for 9/22, Fri) is handed out.

[Sep 13, 2017] Lecture 13: Review Session - solved/discussed the practice problems for EXAM 1

[Sep 12, 2017] Lecture 12: Section 2.2 - reviewed understand f'(x) as a function and notion of differentiable; discussed how to see differentiability from graphs, relation between being continuous at x=a and being differentiable at x=a. / Section 2.3/2.4 - eight formulae for derivatives. 

   -- Graded Quiz 3 was returned.// A hint for #8 in practice problems is E-mailed.

[Sep 11, 2017] Lecture 11: Section 2.2 - understand f'(x) as a function, higher derivatives and their notation, examples, notion of differentiable, example f(x)=|x|

[Sep 8, 2017] Lecture 10: Section 2.1 - reviewed the definition of derivatives, f '(a) = the slope of the tangent line of y=f(x) at x=a, example, introduced techniques to evaluate f '(a).  

   -- Quiz 3 is taken.// Solution of Quiz 3 is handed out // An announcement about Exam 1 is made! // A set of Practice Problems is handed out!

[Sep 6, 2017] Lecture 9: Section 1.5/1.6 - Section 1.5 - reviewed IVT with an example / Section 1.6 - concepts and examples of limits involving infinity. / Section 2.1 - introduced the def of derivatives, example, relation with the slope of tangent line, rate of change. 

   -- An additional note having an additional Note on Sec 1.6;2.1 and Partial Solutions for WS 3 is emailed.

[Sep 5, 2017] Lecture 8: Section 1.5 - intermediate value theorem, its application, example, review of quiz 2. 

   -- Graded Quiz 2 with solution was returned.

[Sep 1, 2017] Lecture 7: Section 1.5 - properties of limit/continuity, examples.  

   -- Quiz 2 was taken.// Worksheet 3 for Quiz 3(scheduled for 9/8, Fri) is handed out.

[Aug 30, 2017] Lecture 6: Section 1.3/1.4 - how to demonstrate the limit DNE, example. / Section 1.5 - definition of continuity, examples, strategy to see the continuity, examples.

[Aug 29, 2017] Lecture 5: Section 1.3/1.4 - two questions #1;#2(d) from WS 2 for the squeeze theorem, a motivating example for seeing the limit DNE, left/right limits. 

   -- Graded Quiz 1 with solution was returned.

[Aug 28, 2017] Lecture 4: Section 1.3 - introduced the definition of the limit of functions, examples, three main techniques to evaluate limits, examples.

[Aug 27, 2017] Office hours are updated as above!

[Aug 25, 2017] Lecture 3: Section 1.2 - example for shifting on transformation of functions. 

   -- Quiz 1 was taken.// Worksheet 2 for Quiz 2(scheduled for 9/1, Fri) is handed out.

[Aug 23, 2017] Lecture 2: Section 1.1 - introduced increasing, decreasing functions, examples / Section 1.2 - various kinds of functions, polynomials, power functions, rational functions, exponentials, logarithms, trigonometric functions, function composite, sum, subtraction, multiplication. 

   -- A PDF of an additional Note on transformations of functions and Partial Solutions on Worksheet 1 has been E-mailed.

[Aug 22, 2017] Lecture 1: Syllabus distributed / Section 1.1 - definition of functions, domain, range, codomain, their examples, listed new terms related to functions, graphs, even/odd functions, examples. 

   -- Worksheet 1 for Quiz 1(scheduled for 8/25, Fri) is handed out.

[Aug 18, 2017] Syllabus and Worksheet 1 are uploaded as above in PDF.