Math 1510 - Applied Calculus I

Fall 2015

Prepared by  Dr. Farhadi

 

 Lecture Notes

Lab Questions

  Solutions

  Important Announcements

  Functions This file is complete

 Inverse Functions This file is complete

 Limit of a function This file is complete

Synthetic and Long Divisions This file is complete

 Limit at infinity (updated after the class of Monday Sept 28) - This file is complete.

 Continuity (updated after the class of Friday Sept 24). This file is complete.

 Continuity of trigonometric functions This file is complete

 

 Differentiation - covering sections 3.1 to 3.4  - This file is complete

 Chain Rule and Extended Power Rule

 Tangent Line - This file is complete

 Higher-order derivatives

 Implicit Differentiation

 Derivatives of Trigonometric Functions

 Introducing Exponential and Logarithmic functions

 Derivatives of Exponential and Logarithmic functions

 Logarithmic Differentiation

 Mean Value Theorem

 Increasing and Decreasing Functions

 Absolute Maxima and Minima

 Relative Maxima and Minima

 Concavity and Points of Inflection

 Optimization Problems (second part of section 4.7)

 Related Rates (to be completed) - This file is complete

 Antiderivative (section 5.1) - this file is complete

 Change of Variable for Indefinite Integral (section 5.3) - This file is complete

 Sigma Notation - Section 6.1

 The Definite Integral - Section 6.3

 The First Fundamental Theorem of Integral Calculus - Section 6.4 - This file is complete

  Change of Variable For Definite Integral - section 6.7 . This file is complete.

 

 Drawing Graphs With Calculus - This file is complete. Updated on Dec. 9

 Inequalities - This file is complete

 

  Lab Session 1

 Lab Session 2

 Lab Session 3 See here for the transmission property of continuous functions. And see  this  for the zero-times-bounded Theorem

 

 Lab Session 4

 Lab Session 5

 Lab Session 6

 Lab Session 7

 Lab Session 8

 Lab Session 9

 Lab Session 10

 Lab Session 11

 Lab Session 12 

   Solutions to Lab 1 questions 

 Solutions to Lab 2 questions

 Solutions to Lab 3 questions

 Solutions to Lab 4 questions

 Solutions to midterm 1

 Solutions to Lab 9

 

 Expectations for the first midterm

Course Outline

  old exams can be found here (copy and paste the address to your browser):

http://www.math.umanitoba.ca/courses/MATH1510

 

 Expectations for the second midterm

 

 Selected exercises from sections 4.7 and 4.9 to be included in the final exam

 Expectations for the final exam