Math 105 section 202, Winter 2015 Term 2

Course title: Integral Calculus with Applications to Commerce and Social Sciences.
Instructor: Shaya Shakerian
Lectures: Mon Wed Fri 9:00am - 10:00am in MATX 1100
Textbook: Calculus: Early Transcendentals, Volume 2. Fourth custom edition for UBC, by Briggs and Cochran.

Office Hours:
Tue 1:00pm-2:00pm in LSK 300C
Wed 3:30pm-4:30pm in LSK 300C
Thu 3:30pm-4:30pm in LSK 300B or By appointment

Email: shaya@math.ubc.ca

The common Course webpage for Math 105 is HERE . Information such as the syllabus, learning goals, practice problems etc is on the common website. This website will contain material specific to this section of the course.

Quick links:
Piazza
WeBWorK
MLC

Announcements:

Grading Scheme


Lecture notes Topics Textbook section Comments

Mon 01/04 Lecture 1 Dot Products 11.1-11.2-11.3
Wed 01/06 Lecture 2 Planes in Three Dimensions 12.1
Fri 01/08 Lecture 3 Functions of two variables, Graph of functions of two variables, Traces and Level curves 12.1-12.2
Mon 01/11 Lecture 4 Partial Derivatives 12.4
Wed 01/13 Lecture 5 Partial Derivatives, Higher-Order Partial Derivatives and Clairaut's Theorem 12.4
Fri 01/15 Lecture 6 Maximum/Minimum problems (Local Maximum / Minimum values, and Saddle point) 12.8
Mon 01/18 Lecture 7 Maximum/Minimum problems (Absolute Maximum and Minimum values ) 12.8 Updated: (Example 6) Jan 26th, 2016!
Wed 01/20 Lecture 8 Lagrange Multipliers 12.9
Fri 01/22 Lecture 9 More Lagrange Multipliers 12.9
Mon 01/25 Lecture 10 Approximating Area by Riemann Sum, and Sigma Notation 5.1 Updated: Midpoint(case three)- page 2- Feb 1st, 2016!
Wed 01/27 Lecture 11 Net Area and Definite Integral 5.1-5.2
Fri 01/29 Lecture 12 Definite Integral 5.2 Correction: Example 5 Part(VI) = -7 !!!
Mon 02/01 Lecture 13 Fundamental Theorem of Calculus 5.3 Section 4.8 (Antiderivative) and the solutions to the Practice problems in section 4.8
Wed 02/03 Lecture 14 Fundamental Theorem, Antiderivatives and Indefinite Integral 4.8-5.3 Indefinite Integral Formulas
Fri 02/05 Lecture 15 Substitution Rule 5.5 Updated! Feb 10, 2016!
Mon 02/08 Family Day!
Wed 02/10 Lecture 16 Integration by Part 7.2
Fri 02/12 Lecture 17 Integration by Part and Substitution Rule 5.5-7.2
Mon 02/22 Lecture 18 Trigonometric Integrals 7.3
Wed 02/24 Lecture 19 Trigonometric Substitution 7.4
Fri 02/26 Lecture 20 Trigonometric Substitution ( Completing the Square) + Partial Fractions (Simple and Repeated Roots) 7.4-7.5
Mon 02/29 Lecture 21 Partial Fractions (Long Division) 7.5
Wed 03/02 Lecture 22 Numerical Integration 7.7 Correction: Section 10.2.3 - Simpson's Rule - Note 1
Fri 03/04 Lecture 23 Improper Integral 7.8 Correction: Example 2: Pat(III) - The integrand = 1/x^{1/3} ----- Example 3: Part(8) !
Mon 03/07 Lecture 24 Introduction to Differential Equations 7.9 Correction: Example 6: Part(III) - Initial Condition: y(1)=5/3 ----- Example 9: Part(III) - Initial Condition: y(0)=1 ! ---- Example 9: Part(IV) - tan^{-1} (y) = -1/x - x +C, C= 2, and y = tan(-1/x - x +2 !
Wed 03/09 Lecture 25 Probability - Continuous random Variable (PDF and CDF)
Fri 03/11 Lecture 26 Probability- Expected value (Mean), Variance and Standard Deviation
Mon 03/14 Lecture 27 Sequences 8.1 -8.2
Wed 03/16 Midterm 2 - Review
Fri 03/18 Lecture 28 Infinite Series (An Overview) 8.1
Mon 03/21 Lecture 29 Geometric Sums and Series 8.3
Wed 03/23 Lecture 30 The Divergence Test - The Integral Test 8.4
Fri 03/25 Good Friday!
Mon 03/28 Easter Monday
Wed 03/ 30 Lecture 31 The Ratio Test - The Comparison Test -The limit Comparison Test 8.5 Correction: Example 3: Part(IV) - The Series Diverges!
Fri 04/01 Lecture 32 The absolute and conditional convergence - Properties of Power series - Combining the power series 8.7-9.2
Mon 04/04 Lecture 33 Differentiating and integrating Power Series 9.2 Correction: Example 2: Part(V) - I missed a negative sign in the final answer!!!
Mon 04/06 Lecture 34 Taylor and Maclaurin Series - Manipulate and working with Taylor/Maclaurin Series 9.1-9.3 Correction: Example 5: Part(I): f^(3)(0), Part (II): f^4(0), Part(III): f^(13)(0)
Mon 04/08 Lecture 35 Working with Taylor/Maclaurin series 9.4


Quizzes:

In total, quizzes will account for %6 of your final course grade. We will have a quiz, for the last 10 minutes of each Friday's lecture, starting on Jan 8th. The practice problem for each quiz will be posted on this webpage, and will review what's been covered since the last quiz. Each quiz is going to be 2-3 questions from its corresponding practice problem.

There will be 9 Quizzes ( 8 Quizzes + 1 Bonus Quiz). The final grade (%6) for this part will be calculated as follows.

1. If you take the Bonus Quiz, your grade will be the average of the best 6 out of 9 Quizzes.
2. If you don't take the Bonus Quiz, your grade will be the average of the best 6 out of 8 Quizzes.

Quiz #0 - Fri, Jan 08, 2016--- Solution (Quiz #0)--- Practice Problems - Quiz #0 [Practice/Bonus]
Quiz #1 - Fri, Jan 15, 2016--- Solution (Quiz #1)--- Practice Problems - Quiz #1
Quiz #2 - Fri, Jan 22, 2016--- Solution (Quiz #2)--- Take Home
Quiz #3 - Fri, Feb 05, 2016--- Solution (Quiz #3)--- Practice Problems - Quiz #3
Quiz #4 - Fri, Feb 12, 2016--- Solution (Quiz #4)--- Take Home --- Quiz #4 - Hint Updated Feb 24! Correction: Integral of ln(x) dx = x ln(x) - x +C !
Quiz #5 - Fri, Feb 26, 2016--- Solution (Quiz #5)--- Practice Problems - Quiz #5
Quiz #6 - Fri, Mar 04, 2016--- Solution (Quiz #6)--- Take Home --- Quiz #6 - Hint
Quiz #7 - Fri, Mar 11, 2016--- Solution (Quiz #7)--- Take Home --- Quiz #7 - Hint
Quiz #8 - --- Solution (Quiz #8)--- Take Home --- Due: Friday -- April 8th, 2016!

Midterm 1: On Thursday - January 28, 2016 - (6:30pm-7:30pm)

Midterm 1- 2015 ----- Solutions-- Midterm 1- 2015
Midterm 1 -2014 ----- Solutions-- Midterm 1- 2014

Midterm 1-Sample 0 with Solutions
Midterm 1-Sample 1 ----- Solutions-- Midterm 1-Sample 1
Midterm 1-Sample 2 ----- Solutions-- Midterm 1-Sample 2
Midterm 1-Sample 3 ----- Solutions-- Midterm 1-Sample 3
Midterm 1-Sample 4 ----- Solutions-- Midterm 1-Sample 4
Midterm 1-Sample 5 ----- Solutions-- Midterm 1-Sample 5

Midterm 2: On Thursday - March 17, 2016 - (6:30pm-7:30pm)

Midterm 2- 2015 ----- Solutions-- Midterm 2- 2015
Midterm 2 - 2014 ----- Solutions--Midterm 2- 2014
Sample Midterm 2 (Posted on the Common Webpage)

Midterm 2-Sample 1 ----- Solutions-- Midterm 2-Sample 1
Midterm 2-Sample 2 ----- Solutions-- Midterm 2-Sample 2
Midterm 2-Sample 3 ----- Solutions-- Midterm 2-Sample 3
Midterm 2-Sample 4 ----- Solutions-- Midterm 2-Sample 4
Midterm 2-Sample 5 ----- Solutions-- Midterm 2-Sample 5

Final Exam:

Past final exam 1
Past final exam 2