Math 104: Differential Calculus

Math 104, Section 104
Differential Calculus with Applications to Commerce and Social Sciences

This website contains material specific to this section of the course. The common website gives the definitive listing of topics.

Instructor: Amir Maleki
Email: amaleki@interchange.ubc.ca
Office hours: Mon, 2:00-3:00 Math 1118 & Tues 9:45-10:45 & Fri 9-10:00, LSK 300C
Special office hour in December
Tuesday, Dec 6, 2:00-3:30, LSK 300B
Thursday, Dec 8, 10:30-12:00, LSK 300C
Monday, Dec 12, 10:00-11:30, LSK 300C
Midterm one: Thursday, Oct 13, 6:45 pm -7:45 pm, LSK 201
Midterm two: Thursday, Nov 17, 6:45 pm -7:45 pm, LSK 201
(see this Excel file for more details)

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Course Materials

Week

Weekly Notes

Additional Materials

1

Business Problem (Handout, Sol)

2

Compounded Interest (Questions, Sol)

Logs (Courtesy of I. Karimfazli)

Tangent line as a limit of secant line (video) (Courtesy of I. Karimfazli)

Domain of a function (Courtesy of University of Kent)

3

Quiz#1 (Solution)

more on root-finding algorithms

4

Examples on continuity and tangent line (Courtesy of I. Karimfazli)

Examples on derivative 1 and 2 (courtesy of K. Tsishchanka)

5

Quiz#2 (Solution)

Practice Quiz (Solution)

Practice Midterm (Solution) (Covers everything from Weeks 1 – 5, but not logarithmic differentiation) Some extra problems (Solution)

6

Midterm1 (V1, V2)

Relative Rate1, Relative Rate2 (Courtesy of R. Fraser)

Trigs Review, movie ( .m file change the extension to .m)

7

Quiz3 (Solution)

Some Practice problem (Solution)

And again one more problem (Courtesy of E. Yeager)

And still more (Solution) MIT OCW

Please make sure you read Learning Goals. That defines what we expect you to learn each week.

8

Yes, I am still posting more problems on related rates (Solution)

Price Elasticity of demand (Practice problems – Solution)

More problems on Price elasticity

Absolute Extrema-closed interval method (Solution uploaded next week)

Practice Quiz (Solution), Practice Quiz 2 (Solution)

9

Quiz4 (Sol), group work

MaxMin1, MaxMin2, MinMax3, MinMax4 (courtesy of K. Tsishchanka)

Inflection (courtesy of K. Tsishchanka)

Vertical and horizontal asymptotes (courtesy of K. Tsishchanka)

10

Curve Sketching1

Curve Sketching 2

Extra problem (Solution)

Practice midterm2 will be uploaded by Instructor-In-Charge, check Here

Also look at workshops for midterm preparation

The midterm1 reflection forms had some pretty interesting patterns. Check this out. We will discuss this in class.

11

Optimisation1 (courtesy of K. Tsishchanka)

12

13

Some extra problem for final exam preparation

EP1 EP2 EP3 EP4 EP5 ExamPrep (Solution)

ReadMeFinalExam

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Good reads and watches
Math gene is a myth.
Note taking and learning
Math and Romance
Math and Wars
Math and Basketball
Math and Getting Rich

Does a bowling ball fall faster than a feather?

Experiment with Gaussian distribution function. (3’10” to 4’35”)

Economies of scale and scope

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