Math 2250

Disclaimer: I am aware that my course notes are being used around the world. I am honored and thankful. I would like to point out that I have been working on posting errata for quite some time, but research pursuits have delayed this task. You can assist me with this by emailing the name of the notes and the page of the error to bsalaam at uga dot edu.

Course Information:

Office Hours: TR 1:00 pm – 1:45 pm and by appointment

Course Text and Materials

University Calculus, Early Transcendentals (Third Edition)

Author: Hass, Weir, Thomas

Publisher: Pearson

ISBN-10: 0321999584 or ISBN-13: 978-0321999580

Homework Website: https://webwork.math.uga.edu/webwork2/Math2250_Salaam_S18/

Class Notes and Announcements

A.3, A.5, 1.1.pdf

1.2 Transformations.pdf

1.3 Trig Functions.pdf

1.5, 1.6 Exp and Logs.pdf

2.1 Rates of Change.pdf

2.2 Limit Laws 2.4 One Sided Limits.pdf

Quiz 1: January 18, 2018

Squeeze Theorem, Sinx over x combined.pdf

Quiz 2: January 24, 2018

2.5 Continuity.pdf

Intermediate Value Theorem Example.pdf

2.6 Infinite Limits and Asymptotes.pdf

Comments on Chapter 2, Tangents.pdf

3.1 Derivatives (Updated).pdf

TEST 1: February 1, 2018

3.3 Differentiation Rules.pdf

Quiz 3: February 7, 2018

3.4 Derivative as a Rate of Change.pdf

Quiz 4: February 14, 2018

3.5 Derivatives of Trig Functions.pdf

3.6 The Chain Rule.pdf Also, try to differentiate [sin(4x)]^3. This is a function within a function within a function.

Quiz 5: February 21, 2018

3.7 Implicit Differentiation, lnx, Normal Lines.pdf

3.8 Logarithmic Differentiation.pdf

3.9 Inverse Trigonometric Functions.pdf

TEST 2: March 1, 2018

3.10 Related Rates.pdf

3.11 Linearization and Functionals.pdf

4.1 Extreme Values of Functions.pdf

4.2 The Mean Value Theorem.pdf

4.3 Monotonic Functions and the First Derivative Test.pdf

4.4 Concavity and Curve Sketching.pdf

4.5 Indeterminate Forms and LHopitals Rule.pdf (April 3)

4.6 Applied Optimization.pdf (March 29)

4.7 Newton's Method

Test 3: March 5, 2018

4.8 Anti-Derivatives.pdf

5.1 Area and Estimating with Finite Sums -Day 1.pdf

5.1 Area and Estimating with Finite Sums -Day 2.pdf

5.2 Sigma Notation and Finite Sums Days 1 and 2.pdf

5.3 The Definite Integral.pdf

5.4 The Fundamental Theorem of Calculus Day 1.pdf

5.4 FTC Day 2 Net Change Theorem and Total Area.pdf

5.5 Indefinite Integrals and the Substitution Method.pdf

5.6 Definite Integral Substitutions and the Area Between Curves.pdf

Formulas, Graphs, Finals Practice Problems.pdf