Calculus I

Mike Huff

Professor of Mathematics

Phone: 512-223-2068

Office Hours

Monday and Wednesday (11:00am- 12:30pm)

Tuesday and Thursday (12:00pm - 1:00pm)

Syllabus Summer 2011

Prerequisite and Review Materials
First day Quiz

Review Problems Key

Trig review for calculus
Prerequisite review
Tangent Lines and Areas
Exponential Functions for Calculus
Optimizartion Problems  

Homework List Summer 2011

2.1 1, 3, 5, 7 3.7 1,3,5,7,9,13,17,21,25,29,33,35,37,39,43,45
2.2 1, 3,5,7,9,11,17,21,22, 32 3.8 1, 5, 13, 16, 18, 29, 32, 35
2.3 1,3,5,9,11,13,17,21,22,27,28,29,31,42,49 3.9 3, 5, 7, 9, 11, 15, 17, 19, 23, 24, 25, 26
2.4 1,3,5,6,7,8,9,15,17,19,21,27,34,36,41,43,45,51 4.1 1, 5, 9, 11, 15, 21, 23, 33
2.5 1,3,5,11,15,19,23,26,27,28,31,34,35,36,39,41,53,54 4.2 1, 2, 7, 15, 17, 19, 29, 32, 37, 41, 47, 49, 53, 58, 63
2.6 1,5,7,11,12,13,17,19,23,27,29,31,33,35,37,42,47,48 4.3 1, 3, 5, 7, 11, 13, 17, 21, 25, 29, 33, 35, 37, 45, 53, 57
2.7 1, 3, 5, 7, 12, 19, 21, 23, 25, 27, 30, 41 - 44 4.5 5,9,13,17,21, 25, 29, 35, 39, 40,42, 43,63,65
2.8 1, 3, 5, 10, 15, 25 4.6 3, 5, 7, 11, 13, 15, 16, 20, 22, 27, 31
3.1 1,5,9,13,17, 21, 25, 27, 41, 47, 49, 62 4.8 1, 5, 9, 11, 13, 15, 17, 19, 23, 25, 29, 31, 33, 35, 39, 41
3.2 3, 5, 7, 11, 15, 19, 23, 27, 29, 33, 41, 45, 50, 51 5.1 1, 3, 5, 11
3.3 1,3,5,7,9,11,13, 19, 23, 27, 29, 33, 34, 37, 39, 42, 43, 45

5.2 1, 5, 9, 17, 18, 19, 21, 23, 27, 31, 34, 47

3.4 1, 3, 5, 6, 7, 9, 13, 17, 21, 25, 29, 31, 33, 34, 37, 39, 42, 43, 45 , 49, 55, 65, 67, 74

5.3 1, 5, 9, 13, 17, 21, 25, 29, 31, 39, 43, 45, 47, 51, 53,

3.5 1, 3, 5, 7, 9, 11, 13, 15, 21, 24, 31, 35, 40, 47, 53 5.4 1, 3, 7, 9, 11, 13, 19
3.6 1,2,3,4,5,6,7, 17, 21, 25, 27, 29, 30, 33, 37, 39

5.5 1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 25, 29, 32, 34, 36, 41, 43, 47, 51, 55, 61

Lecture Notes - Differential Calculus

01 Limits - Section 2.1 (Limits) 06 Differentiation - The Derivative 11 Differentiation - The Chain Rule 16 Limits - L'Hopital's Rule
02 Limits - Section 2.2 (Properties of Limits) 07 Differentiation - Derivative as a Function 12 Differentiation - Implicit and Logarithmic Differentiation  
03 Limits - Section 2.3 (Continuity) 08 Differentiation - Relationship Between F(x) and F'(x) 13 Differentiation - Linear Approximation  
04 Limits - Section 2.4 (Infinite Limits) 09 Differentiation - Rules 14 Differentiation - Increments and Differentials  
05 Differentiation - Tangent Lines 10 Differentiation - The Derivatives of Exponential and Log Functions 15 Differentiation - Calculus Derivatives and Graphing  

Lecture Notes Integral Calculus

1 Antiderivatives 4 Fundamental Theorems
2 Approximating Sums and Sigma Notation 5 Integration by Substitution
3 Definite Integrals  

Tests

Test 1 Test 2 Test 3 Test 4 Final/Test 5
Fall 2002 Fall 2001 Spring 2001 ?????? Fall 2003
Fall 2003B Fall 2003 Spring 2005   Fall 2005
Spring 2006 Fall 2005 w key Spring 2006   Fall 2006 w answers
Fall 2008 Spring 2008 Spring 2007   Fall 2009
Test 1 Review   Fall 2009    

 

Project

Taylor Polynomials

Technology Links

Winplot

 

 

 




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