MATH 1325 - Elements of Calculus


MW 12:30pm-1:50pm in B13.311: Section 6001
Click here to download a copy of the Course Syllabus


Click here to download Assignment
coming soon...

Course Outline and Suggested Homework Problems

(*** - section has been taught)

       

Chapter 3 - Limits and the Derivative

*** 3.1- Introduction to Limits 5, 7, 13, 15, 17, 21-29 odd, 43-53 odd
*** 3.2- Infinite Limits and Limits at Infinity 1-17 odd, 21, 23, 25, 33, 35, 39, 43, 45
3.3- Continuity 11, 13, 19-31 odd, 57, 59, 61
3.4- The Derivative 5-11 odd, 19-25 odd, 31-38, 39
3.5- Basic Differentiation Properties 1-17 odd, 25-51 odd
3.6- Differentials
3.7- Marginal Analysis in Business and Economics 1-11 odd, 25, 29, 31, 35, 37

Chapter 4 - Additional Derivative Topics

4.1- The Constant e and Continuous Compound Interest none
4.2- Derivatives of Exponential and Logarithmic Functions 1-21 odd, 27-41 odd
4.3- Derivatives of Products and Quotients 5-13 odd, 19-25 odd, 43, 45, 47, 51, 53, 63, 65, 67
4.4- The Chain Rule 1-11 odd, 17-57 odd
       

*** Exam #1 ***

       

Chapter 4 - Additional Derivative Topics

4.5- Implicit Differentiation 1-21 odd, 27, 29, 33, 35
4.6- Related Rates 3, 9, 11, 13, 19, 31
4.7- Elasticity of Demand

Chapter 5 - Graphing and Optimization

5.1- First Derivative and Graphs  
5.2- Second Derivative and Graphs  
5.4- Curve-Sketching Techniques  

Chapter 6 - Integration

6.1- Antiderivatives and Indefinite Integrals  
6.2- Integration by Substitution  
       

*** Exam #2 ***

       

Chapter 6 - Integration

6.4- The Definite Integral  
6.5- The Fundamental Theorem of Calculus  

Chapter 7 - Additional Integration Topics

7.1- Area Between Curves  
7.3- Integration by Parts  
7.4- Integration Using Tables  

Chapter 8 - Multivariable Calculus

8.1- Functions of Several Variables  
8.2- Partial Derivatives  
8.3- Maxima and Minima  
       

*** Exam #3 ***

       

*** Final Exam ***