MA 16020 - Applied Calculus II, Sections 0035 and 0047, Spring 2018
Important Information
- Course webpage: MA 16020 - Applied Calculus II
- My email: price79@purdue.edu
- My office hours: Mondays, 11:30 am - 1:30 pm, in the Math Resource Room (MATH 205/211), or by appointment
- You may go to the Math Resource Room any time that it is open.
- You may also ask homework/math questions on Piazza.
- General Weekend Availability: I will (usually) be in my office (MATH 645) 10 am - noon on Saturdays and 1 pm - 4 pm on Sundays. You are welcome to stop by and talk about math, life, etc.
- Notice: I will not be available on Saturday, April 28.
- Review Sessions: I will be hosting review sessions in HAMP 2101 (our classroom!) 3 pm - 7 pm on Tuesday, May 1 and Wednesday, May 2. You are welcome to come and go as you please.
Notice: These lecture notes may contain errors. I strive to have accurate lecture notes, but sometimes I make mistakes in my computations. The main ideas should be conveyed correctly. If you find an error, please email me so I can correct it.
- Lesson R (Mon Jan 08) - Review: Fundamental Theorem of Calculus
- Lesson 1 (Wed Jan 10) - Substitution (Part 1)
- Lesson 2 (Fri Jan 12) - Substitution (Part 2), Average Value of a Function
- Lesson 3 (Wed Jan 17) - Integrals involving Logarithms
- Lesson 4 (Fri Jan 19) - Integration by Parts
- Lesson 5 (Mon Jan 22) - Applications for Integration by Parts
- Lesson 6 (Wed Jan 24) - Introduction to Differential Equations
- Lesson 7 (Fri Jan 26) - Separable Differential Equations
- Lesson 8 (Wed Jan 31) - Applications for Separable Differential Equations
- Lesson 9 (Fri Feb 02) - First Order Linear Diff Eqs (Integrating Factor Method)
- Lesson 10 (Mon Feb 05) - Applications for First Order Linear Diff Eqs
- Lesson 11 (Wed Feb 07) - Areas Between Curves
- Lesson 12 (Fri Feb 09) - Volumes of Solids of Revolution (Disks)
- Lesson 13 (Mon Feb 12) - Volumes of Solids of Revolution (Washers)
- Lesson 14 (Wed Feb 14) - Volumes of Solids of Revolution: Other Axes
- Lesson 15 (Fri Feb 16) - Improper Integrals
- Lesson 16 (Wed Feb 21) - Geometric Series and Convergence
- Lesson 17 (Fri Feb 23) - Applications with Geometric Series
- Lesson 18 (Mon Feb 26) - Functions of Several Variables
- Lesson 19 (Wed Feb 28) - Partial Derivatives
- Lesson 20 (Fri Mar 02) - Second Order Partial Derivatives
- Lesson 21 (Wed Mar 07) - Multivariate Differentials and the Total Differential
- Lesson 22 (Fri Mar 09) - Multivariate Chain Rule and the Total Derivative
- Lesson 23 (Mon Mar 19) - Local Extrema of Multivariate Functions
- Lesson 24 (Wed Mar 21) - Optimization and Applications of Local Extrema for Multivariate Functions
- Lesson 25 (Fri Mar 23) - Lagrange Multipliers and Constrained Optimization
- Lesson 26 (Wed Mar 28) - Applications of Lagrange Multipliers and Constrained Optimization
- Lesson 27 (Fri Mar 30) - Double Integrals - Evaluating
- Lesson 28 (Mon Apr 02) - Double Integrals - Setting Them up, and Switching Order of Integration
- Lesson 29 (Wed Apr 04) - Double Integrals - Applications and Average Value
- Lesson 30 (Fri Apr 06) - Systems of Equations and Matrices - Gaussian Elimination and Row-Echelon Form
- Lesson 31 (Mon Apr 09) - Systems of Equations and Matrices - Gauss-Jordan Elimination and Reduced Row-Echelon Form
- Lesson 32 (Wed Apr 11) - Matrix Operations
- Lesson 33 (Fri Apr 13) - Inverse Matrices
- Lesson 34 (Wed Apr 18) - Determinants
- Lesson 35 (Fri Apr 20) - Eigenvalues and Eigenvectors (2x2 matrices)
- Lesson 36 (Mon Apr 23) - Eigenvalues and Eigenvectors (3x3 matrices)
Quiz solutions will be posted after the quizzes are graded.
- Quiz 1
- Quiz 2
- Quiz 3
- Quiz 4
- Quiz 5
- Quiz 6
- Quiz 7
- Quiz 8
- Quiz 9
- Quiz 10
- Quiz 11
- Quiz 12
- Quiz 13
- Quiz 14
- Quiz 15
- Quiz 16
- Quiz 1 - Lessons R and 1 - Friday, January 12
- Quiz 2 - Lesson 2 - Wednesday, January 17
- Quiz 3 - Lessons 3 and 4 - Monday, January 22
- Quiz 4 - Lesson 6 - Friday, January 26
- In class survey (not a quiz) - how is the class going? - Wednesday, January 31
- Quiz 5 - Lessons 7 and 8 - Friday, February 2
- Quiz 6 - Lessons 9 and 10 - Friday, February 9
- Quiz 7 - Lessons 12, 13, and 14 - Friday, February 16
- Quiz 8 - Lessons 15 and 16 - Friday, February 23
- Quiz 9 - Lesson 17 - Monday, February 26
- Quiz 10 - Lessons 18 and 19 - Friday, March 2
- In class survey (not a quiz) - how is the class going? - Wednesday, March 7
- Quiz 11 - Lesson 21 - Friday, March 9
- Quiz 12 - Lesson 23 - Wednesday, March 21
- Quiz 13 - Lessons 25 and 26 - Friday, March 30
- Quiz 14 - Lesson 27 - Monday, April 2
- Quiz 15 - Lessons 29 and 30 - Monday, April 9
- Quiz 16 - Lessons 32 and 33 - Wednesday, April 18
Student Comments and My Responses
- Student comments (January 31st) on how the class is going
- My responses to student comments from January 31st
Useful Facts
- If you need grade checks (a signed form for athletics or some other organization), please email me and set up a time outside of class for me to check on your grade and fill out the form. I will not fill out the form if you just hand it to me before or after class.
- Per course policy, we do not review homework questions during class. If you would like help with a homework question, check Piazza or contact me by email.
- As tempting as it might be, do not use any calculator other than a one-line calculator on the homework. Do not use a computer algebra system (such as WolframAlpha) either. Almost all exam questions are taken directly from the homework, and on the exam, you will not be able to use these tools. You will be unprepared for the exams (in which you have an average of 5 minutes per problem) if you cheat yourself on doing the homework. If you understand how to do the homework correctly and efficiently with only a one-line calculator, you will be successful in this course.
- Make sure you understand how to use your calculator effectively. Understanding how to use your calculator's memory will save time and reduce errors.