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Sasha Townsend

Sasha TownsendSasha TownsendSasha Townsend

Assistant Professor of Mathematics Tulsa Community College

Assistant Professor of Mathematics Tulsa Community College Assistant Professor of Mathematics Tulsa Community College

Calculus 1 - Course Information

This section includes recent syllabi, SBG course standards and grading rubric, and advice for Calculus I students from former Calculus I students. 

Spring 2020 Syllabus (Honors, face-to-face section, with SBG) (pdf)Download
Spring 2020 Syllabus Addendum (Changes to the course due to COVID-19) (pdf)Download
Calc1 Standards and Grading Rubric Spring 2020 (pdf)Download
Advice for Calculus I Students from Fall 2018 Calculus I Students (pdf)Download
Advice For Calculus 1 Students from Spring 2020 Calculus I Students (pdf)Download
This course and this site are works-in-progress.

Analytic Geometry & Calculus 1

It's going to take some time to upload all of the content I've created and that I'd like to create for my students and interested others. Check back soon. 

Reference Sheets

This course is about mastering fundamental skills and concepts, as it is the first in a sequence that leads to Differential Equations. With that in mind, formula sheets are not provided for most sections in our course. You're asked to learn the differentiation and antidifferentiation rules, and how and when to apply them. I design the course with some scaffolding, so that you're not required to learn all of them at once. Instead, you learn a few new rules at a time. Knowing these rules makes everything easier. We wouldn't want to compute derivatives using the limit definition or compute integrals using the limits of Riemann sums. The discovery of these efficient, elegant rules, and the Fundamental Theorem, are two small parts of the beauty of calculus. 


Please download the differentiation and antidifferentiation reference sheets below, and create flash cards if you need to in order to commit them to memory. You won't need to get started on this until the appropriate unit, although you can work ahead if you'd like to. We'll talk more about their derivations in class, so that you won't simply depend on rote memorization. Our goal is for you to understand the rules, where they come from, how to apply them, and what they mean, geometrically and in applications. These are ultimately tools that will make the real work of calculus easier.


Reference Sheets for other topics, such as the Limits Summary Infographic and Riemann Sums Defined are provided for quick reference.

U1 Quick Reference - Limits Summary Infographic (pdf)Download
U2 Reference Sheet - Basic Differentiation Rules (pdf)Download
U4 Quick Reference Sheet - Riemann Sum Defined (pdf)Download
U4 Reference Sheet - Basic Antidifferentiation Rules w/ Exponent Properties and Substitution Review (pdf)Download

Unit 1 - Limits - Lessons + Practice

Lesson plans, lesson notes, and practice problems for Unit 1, which covers limits, are linked below. 

Limits make the rest of calculus possible!


U1 L1 is an abbreviation for Unit 1 Lesson 1.

U1 L2 P1 is an abbreviation for Unit 1 Lesson 2 Part 1.

U1 L0 Lesson Plan - An Overview of Calculus (pdf)Download
U1 L0 Lesson Notes - An Overview of Calculus (pdf)Download
U1 L0 Active Learning Activity - An Overview of Calculus (pdf)Download
U1 L0 Active Learning Activity - KEY (pdf)Download
U1 L1 Lesson Plan - Limits Intuitively, Graphically, and Numerically (pdf)Download
U1 L1 Lesson Notes and Practice Problems - Limits Intuitively, Graphically, and Numerically (pdf)Download
U1 L2 Lesson Plan - Limits Algebraically, Parts 1 and 2 (pdf)Download
U1 L2 P1 Lesson Notes and Practice Problems - Limits Algebraically Part 1 (pptx)Download
U1 L2 P2 Lesson Notes and Practice Problems - Limits Algebraically Part 2 (pdf)Download
U1 L3 Lesson Plan - The Formal Definition of a Limit (pdf)Download
U1 L3 Detailed Lesson Notes - The Formal Definition of a Limit (pdf)Download
U1 L3 Lesson Notes and Practice Problems - The Epsilon-Delta Definition of the Limit (pdf)Download
U1 L4 Lesson Plan - Continuity, Limits of Piecewise Functions, and the Intermediate Value Theorem (pdf)Download
U1 L4 P1 Lesson Notes and Practice Problems - Continuity and Limits of Piecewise Functions (pptx)Download
U1 L4 P2 Lesson Notes and Practice Problems - The Intermediate Value Theorem (pptx)Download

Unit 2 - Differentiation - The Lessons

Files coming soon.

Unit 2 - Differentiation - Active Learning

Files coming soon.

Unit 3 - Applications of Differentiation - The Lessons

Files coming soon.

Unit 3 - Applications of Differentiation - Active Learning

Files coming soon.

Unit 4 - Antidifferentiation & Integration - The Lessons

Files coming soon.

Unit 4 - Antidifferentiation & Integration - Active Learning

This section is incomplete, but often requested! Here are some older sets of practice problems for basic antidifferentiation rules, algebraic manipulation and simplification, and antidifferentiation by substitution, along with their solutions.

Antidifferentiation Practice with Exponent Properties (pdf)Download
Solutions to Antidifferentiation Practice with Exponent Properties (pdf)Download
Antidifferentiation by u-Substitution - Practice Problems (pdf)Download
Solutions to u-Substitution Practice (pdf)Download

Analytic Geometry & Calculus 1 Youtube Playlust

This playlist is incomplete, as I started creating these videos for my students due to the transition to remote instruction due to COVID-19. The videos begin with the extreme value theorem and include content through the end of the course. Some videos will be remade (I was sick at one point). 


To view all of the videos on the playlist, click on the three stacked horizontal lines in the top right corner, Then, a list of all of the available videos will appear.


Spring 2020 Quiz and Final Exam Keys

Due to COVID-19, this semester did not go as any of us had planned. Here are the quiz keys for the current semester. The remaining quizzes and reassessments were taken online and administered through WebAssign, due to the pandemic.

Calc1 Quiz 1 KEY Spring2020 (pdf)Download
Calc1 Quiz 2 KEY Spring2020 (pdf)Download
Calc1 Quiz 3 KEY Spring2020 (pdf)Download
Calc1 Quiz 4 KEY Spring2020 (pdf)Download
Calc1 Quiz 5 KEY Spring2020 (pdf)Download
Calc1 Final Exam KEY Spring2020 (pdf)Download

Fall 2018 Quiz Keys

These are the quiz keys from the Fall 2018 semester. During that semester, standard I31, hyperbolic functions, was not a part of the course.  For Spring 2020, hyperbolic functions has been moved from Calculus II to Calculus I, and the area between two curves has been moved from Calculus I to Calculus II.

Calc1 Quiz 1 KEY Fall2018 (pdf)Download
Calc1 Quiz 2 KEY Fall2018 (pdf)Download
Calc1 Quiz 3 KEY Fall2018 (pdf)Download
Calc1 Quiz 4 KEY Fall2018 (pdf)Download
Calc1 Quiz 5 KEY Fall2019 (pdf)Download
Calc1 Quiz 6 KEY Fall2018 (pdf)Download
Calc1 Quiz 7 KEY Fall2018 (pdf)Download
Calc1 Quiz 8 KEY Fall2018 (pdf)Download
Calc1 Quiz 9 KEY Fall2018 (pdf)Download
Calc1 Quiz 10 KEY Fall2018 (pdf)Download

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