Getting Started: How to Prepare for the First Day of Class

Welcome to Math 1C: Calculus III at Foothill College with Jeff Anderson. This Math 1C course is the third of a four-quarter series of introductory lower-division calculus classes. For more about Math 1C at Foothill College, please see Foothill's Math Department website. For students, please make sure to check the email account that you have listed in MyPortal. 

Below I provide you with electronic copies of our course resources this quarter:

Resources for Math 1C.01 on T/Th at 1:30pm in room 5611 in spring quarter 2024

Course Syllabus:       Jeff Anderson’s Course Syllabus

Meeting Schedule:   Spring 2024, Math 1C.02, MW 1:30PM, Portfolio Meeting Schedule
Example Learning Conference Meeting Schedule

Math 1C Discord: Spring 2024, Math 1C Discord Channel

Flipped Learning:         Spring 2024, Math 1C Flipped Classroom Activity List (updated 4/8/2024)

Content Calendar:        Spring 2024 Math 1C Beginner Calendar (.pdf)
Spring 2024 Math 1C Intermediate Calendar (.pdf)
Spring 2024 Math 1C Advanced Calendar (.pdf)

Mathematica Software:   Math 1C: Get Access to Mathematics (Mma) Software (Last updated: Spring 2021)

Welcome Emails: Jeff’s Spring 2024 First Welcome Email (Sent on 04/03/2024)
Jeff’s 2nd Welcome Email (Sent on 09/25/2023)
Jeff’s Add Code Email (Sent on 09/25/2023)

General Resources for Math 1C

Course Webpage FAQs: Jeff’s Course Website FAQs
Attendance FAQs: Jeff’s Attendance FAQs
Flipped Learning FAQs: Jeff’s Flipped Learning FAQs
Grading FAQs:       Jeff’s Grading FAQs
List of Final Deliverables for Your Learning Portfolio (updated on 04/08/2024)
Team Learning FAQs: Jeff’s Team Learning FAQs
Add Code Policy: Jeff’s Add Code Policy

Conquering College: Lab 1 Prompt
Lab 2 Prompt
Lab 3 Prompt
Lab 4 Prompt

Learning Reflections: Mid-Term Learning Self Evaluation Activity ( .docx ) or ( .pdf ) - due at start of week 6
Final Learning Self Evaluation Activity ( .docx ) or ( .pdf ) - due during final meeting

Final Course Eval: Spring 2024, Math 1C, Final Course Evaluation (Google Forms Survey)
A. Once you complete this survey, please take a snapshot of the confirmation page.
B. Show your snapshot of this page to Jeff to confirm you’ve finished this work.

Stay Focused on Exam Content

Many previous students have asked me what I plan to test on. To answer this question, I have a drafted list of all topics that might be covered on in-class exams. I plan to ask you to demonstrate deep conceptual understanding of the ideas we study. For more about the exact content I want you to study and master, please watch my course videos. To access a master list of the videos we use in this course, please click on the link below:

Math 1C with Anderson Master List of Lecture Videos, Draft 0 (Last Updated: Tuesday 9/24/2019 at 10:11am)

To access more information on the type of questions I want you to be able to answer in each individual lesson, click on the link below:

Jeff Anderson’s Math 1C Lesson-by-Lesson Content-Specific Learning Objectives (updated: 3/8/24)

This list should give you a very good idea of the ideas you might want to focus on in each lesson of this class while you are writing your lesson notes. Also, as you prepare for your in-class exams, you can use this list to focus your attention on the most relevant topics that we study in this class. 

Math 1C, Multivariable Differentiation (MD): Lesson Resources

Multivariable Differential Calculus

In this part of Math 1C, we develop the theory of partial derivatives of multivariable functions. In doing so, we explore the formal mathematical definition of partial derivatives, we learn the techniques of partial differentiation and we study the gradient operator. We also apply the theory of partial derivatives to solve famous mathematical problems including multivariable optimization, least-squares problems and constrained optimization problems.

MATH 1C: MULTIVARIABLE DIFFERENTIATION (MD)
LESSON TITLE LESSON PLAYLIST
MD LESSON 0: THE LEAST-SQUARES PROBLEM
  1. Lesson 0: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 0: Jeff's Mathematica Notebook (.nb)
  3. Lesson 0: In-Class Problems (.pdf)
MD LESSON 0 PLAYLIST
MD LESSON 1: VECTORS IN 2D
  1. Lesson 1: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 1: Jeff's Mathematica Notebook (.nb)
  3. Lesson 1: In-Class Problems (.pdf)
  4. Lesson 1: Solutions to In-Class Problems (.pdf)
  5. OpenStax Calculus 3 : 2.1 Vectors in 2D
MD LESSON 1 PLAYLIST
MD LESSON 2: VECTORS IN 3D
  1. Lesson 2: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 2: Jeff's Mathematica Notebook (.nb)
  3. Lesson 2: In-Class Problems (.pdf)
  4. OpenStax Calculus 3 : 2.2 Vectors in 3D
MD LESSON 2 PLAYLIST
MD LESSON 3: THE DOT PRODUCT
  1. Lesson 3: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 3: Jeff's Mathematica Notebook (.nb)
  3. Lesson 3: In-Class Problems (.pdf)
  4. Lesson 3: Draft Student Solutions to In-Class Problems(.pdf)
  5. OpenStax Calculus 3 : 2.3 Dot Product
MD LESSON 3 PLAYLIST
MD LESSON 4: THE CROSS PRODUCT
  1. Lesson 4: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 4: Jeff's Mathematica Notebook (.nb)
  3. Lesson 4: In-Class Problems (.pdf)
  4. Lesson 4: Draft Student Solutions to In-Class Problems (.pdf)
  5. OpenStax Calculus 3 : 2.4 Cross Product
MD LESSON 4 PLAYLIST
MD LESSON 5: LINES AND CURVES IN SPACE
  1. Lesson 5: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 5: Jeff's Mathematica Notebook (.nb)
  3. Lesson 5: In-Class Problems (.pdf)
  4. Lesson 5: Draft Student Soltuions to In-Class Problems (.pdf)
  5. OpenStax Calculus 3 : 2.5 Lines and Planes in Space
MD LESSON 5 PLAYLIST
MD LESSON 6: PLANES AND SURFACES
  1. Lesson 6: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 6: Jeff's Mathematica Notebook (.nb)
  3. Lesson 6: In-Class Problems (.pdf)
  4. Lesson 6: Draft Student Soltuions to In-Class Problems (.pdf)
  5. OpenStax Calculus 3 : 2.6 Quadratic Surfaces
MD LESSON 6 PLAYLIST
MD LESSON 7: MULTIVARIABLE FUNCTIONS, GRAPHS AND LEVEL CURVES
  1. Lesson 7: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 7: Jeff's Mathematica Notebook (.nb)
  3. Lesson 7: In-Class Problems (.pdf)
  4. Lesson 7 and 8: Jeff's Partial solutions to In-Class Problems (.pdf)
  5. Lesson 7: Draft TA solutions to In-Class Problems (.pdf)
  6. OpenStax Calculus 3 : 4.1 Multivariable Functions
MD LESSON 7 PLAYLIST
MD LESSON 8: MULTIVARIABLE LIMITS AND CONTINUITY
  1. Lesson 8: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 8: Handout (.nb)
  3. Lesson 8: Jeff's Mathematica Notebook (.nb)
  4. Lesson 8: In-Class Problems (.pdf)
  5. Lesson 8: Draft TA solutions to In-Class Problems (.pdf)
  6. OpenStax Calculus 3 : 4.2 Multivariable limits
MD LESSON 8 PLAYLIST
MD LESSON 9: PARTIAL DERIVATIVES
  1. Lesson 9: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 9: Pre-requisite Ordinary Derivative Review Handout (.pdf)
  3. Lesson 9: Handout (.pdf)
  4. Lesson 9: In-Class Problems (.pdf)
  5. Lesson 9: Draft TA solutions to In-Class Problems (.pdf)
  6. OpenStax Calculus 3 : 4.3 Partial Derivatives
MD LESSON 9 PLAYLIST
MD LESSON 10: THE CHAIN RULE
  1. Lesson 10: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 10: Handout (.pdf)
  3. OpenStax Calculus 3 : 4.5 Multivariable Chain Rule
MD LESSON 10 PLAYLIST
MD LESSON 11: THE GRADIENT AND DIRECTIONAL DERIVATIVES
  1. Lesson 11: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 11: Handout (.pdf)
  3. Lesson 11: In-Class Problems (.pdf)
  4. Lesson 11: Draft TA solutions to In-Class Problems (.pdf)
  5. OpenStax Calculus 3 : 4.6 Directional Derivatives and the Gradient
MD LESSON 11 PLAYLIST
MD LESSON 12: TANGENT PLANES AND LINEARIZATIONS
  1. Lesson 12: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 12: Jeff's Mathematica Notebook (.nb)
  3. Lesson 12: In-Class Problems (.pdf)
  4. Lesson 12: Draft TA solutions to In-Class Problems (.pdf)
  5. OpenStax Calculus 3 : 4.4 Tangent Planes
MD LESSON 12 PLAYLIST
MD LESSON 13: MULTIVARIABLE OPTIMIZATION
  1. Lesson 13: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 13: Handout (.pdf)
  3. Lesson 13: In-Class Problems (.pdf)
  4. Lesson 13: Draft TA solutions to In-Class Problems (.pdf)
  5. OpenStax Calculus 3 : 4.7 Maxima/Minima Problems
MD LESSON 13 PLAYLIST
MD LESSON 14: LAGRANGE MULTIPLIERS
  1. Lesson 14: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 14: Jeff's Mathematica Notebook (.nb)
  3. Lesson 14: In-Class Problems (.pdf)
  4. Lesson 14: Draft TA solutions to In-Class Problems (.pdf)
  5. OpenStax Calculus 3 : 4.8 Lagrange Multipliers
MD LESSON 14 PLAYLIST

Math 1C, Introduction to Numerical Analysis (INA): Lesson Resources

Introduction to Numerical Analysis: Sequences and Series

In this part of Math 1C, we return to our study of single-variable functions and develop series representations of continuous functions. We investigate the theory of sequences and series, we study a myriad of tests for convergence of infinite series and we explore the convergence properties of Power Series and Taylor Series Polynomials. Finally, we apply series to solve simple ODEs and sequences of partial sums to evaluate functions numerically. 

MATH 1C, INTRODUCTION TO NUMERICAL ANALYSIS (INA)
LESSON TITLE LESSON PLAYLIST
INA LESSON 0: INTRODUCTION TO TYPE I AND TYPE II NUMBERS
  1. Lesson 0: Jeff's Incomplete, Draft Handwritten Lesson Notes (.pdf)
INA LESSON 1: SEQUENCES
  1. Lesson 1: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 1 Handout (.pdf)
  3. Lesson 1: In-Class Problems (.pdf)
  4. Lesson 1: Draft TA Soltions to In-Class Problems (.pdf)
  5. OpenStax Calculus 2 : 5.1 Sequences
INA LESSON 1 PLAYLIST
INA LESSON 2: INFINITE SERIES
  1. Lesson 2: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 2 Handout (.pdf)
  3. Lesson 2: In-Class Problems (.pdf)
  4. Lesson 2: Draft TA Soltions to In-Class Problems (.pdf)
  5. OpenStax Calculus 2 : 5.2 Infinite Series
INA LESSON 2 PLAYLIST
INA LESSON 3: DIVERGENCE AND INTEGRAL TESTS
  1. Lesson 3: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 3 Handout (.pdf)
  3. Lesson 3: In-Class Problems (.pdf)
  4. Lesson 3: Draft TA Soltions to In-Class Problems (.pdf)
  5. OpenStax Calculus 2 : 5.3 Integral and Divergence Test
INA LESSON 3 PLAYLIST
INA LESSON 4: THE RATIO, ROOT, AND COMPARISON TESTS
  1. Lesson 4: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 4 Handout (.pdf)
  3. Lesson 4: In-Class Problems (.pdf)
  4. Lesson 4: Draft TA Soltions to In-Class Problems (.pdf)
  5. OpenStax Calculus 2 : 5.4 Comparison Tests
  6. OpenStax Calculus 2 : 5.6 Root and Ratio Tests
INA LESSON 4 PLAYLIST
INA LESSON 5: ALTERNATIVE SERIES
  1. Lesson 5: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 5 Handout (.pdf)
  3. OpenStax Calculus 2 : 5.5 Alternating Series Tests
INA LESSON 5 PLAYLIST
INA LESSON 6: APPROXIMATING FUNCTIONS WITH SERIES
  1. Lesson 6: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 6 Handout (.pdf)
  3. OpenStax Calculus 2 : 6.1 Power Series and Functions
INA LESSON 6 PLAYLIST
INA LESSON 7: PROPERTIES OF POWER SERIES
  1. Lesson 7: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 7 Handout (.pdf)
  3. OpenStax Calculus 2 : 6.2 Properties of Power Series
INA LESSON 7 PLAYLIST
INA LESSON 8: TAYLOR SERIES POLYNOMIALS
  1. Lesson 8: Jeff's Handwritten Lesson Notes (.pdf)
  2. Lesson 8 Handout (.pdf)
  3. OpenStax Calculus 2 : 6.3 Taylor and MaClaurin Series
INA LESSON 8 PLAYLIST
INA LESSON 9: WORKING WITH TAYLOR SERIES
  1. Lesson 9: Jeff's Handwritten Lesson Notes (.pdf)
  2. OpenStax Calculus 2 : 6.4 Working with Taylor Series
INA LESSON 9 PLAYLIST

Spring 2021, Math 1C Quiz Resources

Example

MATH 1C, QUIZ RESOURCES
IN-CLASS QUIZ 1
  1. Spring 2021, Blank Quiz 1 (.pdf)
  2. Spring 2021: Quiz Grading Rubric (.pdf)
  3. Spring 2021, Student Solutions: Quiz 1 Example 1 (.pdf)
  4. Spring 2021, Student Solutions: Quiz 1 Example 2 (.pdf)
  5. Spring 2021, Student Solutions: Quiz 1 Example 3 (.pdf)
  6. Spring 2021, Student Solutions: Quiz 1 Example 4 (.pdf)
  7. Spring 2021: Quiz Corrections Instructions (.pdf)
  8. Avoid Common Exam Mistakes (.pdf)
IN-CLASS QUIZ 2 : DUE TUESDAY 5/25/2021 AT 11:59 PM
  1. Spring 2021, Blank Quiz 2 (.pdf)
IN-CLASS QUIZ 3 : DUE TUESDAY 6/8/2021 AT 11:59 PM
  1. Spring 2021, Blank Quiz 3 (.pdf)
IN-CLASS QUIZ 4 : DUE THURSDAY 6/24/2021 AT 11:59 PM
  1. Spring 2021, Blank Quiz 4 (.pdf)

Math 1C Exam Preparation Resources

Math 1C, Exam 2, V9A: Lesson 11 Problem Set (.pdf) - Do problems 1 - 6 to deepen lesson 11 work
Here is the M1C, Exam 2, V9A solutions set

MATH 1C, EXAM RESOURCES
IN-CLASS EXAM 1
  1. Math 1C: Write your own exam assignmnet (.pdf)
  2. NEW Sample Exam 1 (.pdf)
  3. NEW Sample Exam 1: Jeff's Partial Answers (.pdf)
  4. OLD Sample Exam 1 (.pdf)
  5. OLD Sample Exam 1 Answers (.pdf)
  6. Exam 1 Practice Problems (.pdf)
  7. Exam 1 Practice Problems Answers (.pdf)
  8. Summer 2018: Updated Exam 1 Corrections Packet (.pdf)
  9. Avoid Common Exam Mistakes (.pdf)
IN-CLASS EXAM 2
  1. Summer 2018: Exam 2 (Jeff's Partial Solutions) (.pdf)
  2. Summer 2018: Exam 2 Correction Packet (.pdf)
  3. NEW Sample Exam 2 (.pdf)
  4. NEW Sample Exam 2: Jeff's Partial Answers (.pdf)
  5. OLD Sample Exam 2 (.pdf)
  6. OLD Sample Exam 2 Answers (.pdf)
  7. Exam 2 Practice Problems (.pdf)
  8. Exam 2 Practice Problems Answers (.pdf)
FINAL EXAM
  1. Winter 2019: Final Exam Correction Packet (.pdf)
  2. Math 1C, Part I: Multivariable Differentiation Practice Problems (.pdf)
  3. Math 1C, Part I: Multivariable Differentiation Practice Problem Answers (.pdf)
  4. Math 1C, Part II: Sequences and Series Problems (.pdf)
  5. Math 1C, Part II: Sequences and Series Problem Answers (.pdf)