Every Topic in Your Syllabus is Covered 💯
(Note: Some professors may go out of order or skip a topic, so feel free to bounce around.)
Start Here
Available in
days
days
after you enroll
Integration Techniques Part 1 - Substitution & IBP — Topic Review (⏱️ <51 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Basic Derivative and Integral Rules (p. 3-5) (7:55)
- Substitution (p. 6-8) (7:42)
- Integration by Parts Overview (p. 9-11) (7:50)
- IBP - Algebraic and Trig / Exponential (ATE) (p. 12-13) (5:27)
- IBP - Algebraic and Log / Inverse Trig (LIA) (p. 14-15) (6:50)
- IBP - Trig and Exponential (Circular Integration) (p. 16-17) (10:44)
- Substitution and IBP in the Same Problem (p. 18) (4:20)
Integration Techniques Part 1 - Substitution & IBP — Practice Exam Questions
Available in
days
days
after you enroll
Integration Techniques Part 2 - Trig Integrals & Trig Sub — Topic Review (⏱️ <80 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Trig Integrals Overview (p. 3-4) (5:04)
- Trig Integrals with Powers of Sine and Cosine (p. 5-7) (15:53)
- Trig Integrals with Sine and Cosine with Different Angles (p. 8) (3:28)
- Trig Integrals with Tangent and Secant - TOES (p. 9-11) (11:26)
- Trig Integrals with Tangent and Secant - No TOES (p. 12-13) (11:46)
- Trig Sub Overview (p. 14-15) (10:32)
- Trig Sub and Completing the Square (p. 16) (12:49)
Integration Techniques Part 2 - Trig Integrals & Trig Sub — Practice Exam Questions
Available in
days
days
after you enroll
- Practice Exam Questions
- Practice Exam Questions Answer Key
- Trig Integrals with Sine and Cosine Practice Exam Solutions (9:56)
- Trig Integrals with Tangent and Secant - TOES Practice Exam Solutions (10:39)
- Trig Integrals with Tangent and Secant - No TOES Practice Exam Solutions (20:51)
- Trig Sub - Basic Practice Exam Solutions (17:55)
- Trig Sub and Completing the Square Practice Exam Solutions (20:17)
Integration Techniques Part 3 - PFD & Rationalizing Substitution — Topic Review (⏱️ <56 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Partial Fraction Decomposition - Overview (p. 3-5) (11:59)
- Integration with Linear Factors (p. 6-7) (13:58)
- Integration with Irreducible Quadratic Factors (p. 8-9) (12:23)
- Rationalizing Substitution (p. 10) (9:04)
- Deciding the Right Integration Method to Use (p. 11-12) (7:55)
Integration Techniques Part 3 - PFD & Rationalizing Substitution — Practice Exam Questions
Available in
days
days
after you enroll
Improper Integrals, Approximation Methods, & Function Growth Rates — Topic Review (⏱️ <52 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Quick Review of Limits (p. 3) (3:22)
- L'Hôpital's Rule (p. 4-5) (5:04)
- Growth Rates (How to Skip L'Hôpital's Rule) (p. 6) (5:10)
- Improper Integrals (p. 7-10) (16:42)
- Comparison Theorem for Improper Integrals (p. 11-12) (6:03)
- The Midpoint Rule (p. 13-14) (3:59)
- The Trapezoidal Rule (p. 15-16) (5:08)
- Simpson's Rule (p. 17-18) (6:32)
Improper Integrals, Approximation Methods, & Function Growth Rates — Practice Exam Questions
Available in
days
days
after you enroll
Integration Applications Part 1 - Area Between Curves and Volumes — Topic Review (⏱️ <72 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Area Between Curves (p. 3-4) (9:58)
- Volume by Cross Sectional Area (p. 5-6) (11:16)
- Solids of Revolution - Disk and Washer Method (p. 7-10) (14:34)
- Solids of Revolution - Shell Method (p. 11-12) (8:00)
- Rotating About Other Axes (p. 13-14) (13:51)
- Which One - Disk or Shell? (p. 15-17) (14:21)
Integration Applications Part 1 - Area Between Curves and Volumes — Practice Exam Questions
Available in
days
days
after you enroll
Integration Applications Part 2 - Work and Average Value — Topic Review (⏱️ <63 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Review of Differentials (p. 3) (5:16)
- Basic Physics Concepts (p. 4) (7:27)
- Work - Overview (p. 5) (3:46)
- Work Due to Stretching or Compressing a Spring (p. 6-7) (8:48)
- Work Due to Lifting an Object (p. 8-9) (12:45)
- Work Due to Pumping a Fluid (p. 10-12) (20:18)
- Average Value of a Function (p. 13) (3:54)
Integration Applications Part 2 - Work, Force, and Average Value — Practice Exam Questions
Available in
days
days
after you enroll
Integration Applications Part 3 - Arc Length, Surface Area, Physics, and Probability — Topic Review (⏱️ < 74 min)
Available in
days
days
after you enroll
Integration Applications Part 3 - Arc Length, Surface Area, Physics, and Probability — Practice Exam Questions
Available in
days
days
after you enroll
Sequences — Topic Review (⏱️ <40 min)
Available in
days
days
after you enroll
Sequences — Practice Exam Questions
Available in
days
days
after you enroll
Series Overview, Geometric Series, Telescoping Series, Integral Test, and p-Series — Topic Review (⏱️< 46 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Review of Summation Notation (p. 3) (3:59)
- Series - Overview (p. 4-6) (7:06)
- nth Term Test for Divergence (p. 7) (4:12)
- Geometric Series (p. 8-9) (10:01)
- Telescoping Series (p. 10-11) (7:57)
- The Integral Test (p. 12-13) (10:23)
- p-Series (p. 14) (1:50)
Series Overview, Geometric Series, Telescoping Series, Integral Test, and p-Series — Practice Exam Questions
Available in
days
days
after you enroll
- Practice Exam Questions
- Practice Exam Questions Answer Key
- Series Overview Practice Exam Solutions (3:51)
- nth Term Test for Divergence Practice Exam Solutions (2:27)
- Geometric Series Practice Exam Solutions (4:52)
- Telescoping Series Practice Exam Solutions (10:10)
- The Integral Test Practice Exam Solutions (12:26)
- p-Series Practice Exam Solutions (3:38)
Comparison Tests, Alternating Series, and Absolute & Conditional Convergence — Topic Review (⏱️ <57 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Direct Comparison Test (p. 3-5) (12:41)
- Limit Comparison Test (p. 6-7) (8:39)
- Which One? Direct Comparison Test or Limit Comparison Test? (p. 8-9) (8:47)
- Alternating Series Test (p. 10-11) (12:01)
- Alternating Series Estimation (p. 12-13) (7:38)
- Absolute and Conditional Convergence (p. 14-15) (6:42)
Comparison Tests, Alternating Series, and Absolute & Conditional Convergence — Practice Exam Questions
Available in
days
days
after you enroll
- Practice Exam Questions
- Practice Exam Questions Answer Key
- Direct Comparison Test Practice Exam Solutions (4:35)
- Limit Comparison Test Practice Exam Solutions (6:33)
- Direct Comparison Test vs Limit Comparison Test Practice Exam Solutions (6:49)
- Alternating Series Test Practice Exam Solutions (5:33)
- Alternating Series Estimation Practice Exam Solutions (6:06)
- Absolute and Conditional Convergence Practice Exam Solutions (7:28)
The Ratio and Root Tests — Topic Review (⏱️ <26 min)
Available in
days
days
after you enroll
The Ratio and Root Tests — Practice Exam Questions
Available in
days
days
after you enroll
Power Series — Topic Review (⏱️ <49 min)
Available in
days
days
after you enroll
Power Series — Practice Exam Questions
Available in
days
days
after you enroll
Taylor & Maclaurin Series — Topic Review (⏱️ <44 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Taylor & Maclaurin Series (p. 3-6) (13:11)
- Using Known Taylor Series to Find New Series (p. 7) (3:58)
- Taylor Polynomials (p. 8) (4:02)
- Taylor's Inequality (Taylor's Remainder Theorem) (p. 9-10) (11:05)
- Finding Sums Using Taylor Series (p. 11) (4:10)
- Finding Higher Derivatives Using Taylor Series (p. 12-13) (7:04)
Taylor & Maclaurin Series — Practice Exam Questions
Available in
days
days
after you enroll
Parametric Equations — Topic Review (⏱️ <40 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Parametric Equations Overview (p. 3-6) (13:12)
- The First Derivative with Parametric Equations (p. 7-8) (8:19)
- The Second Derivative with Parametric Equations (p. 9) (6:53)
- Area with Parametric Equations (p. 10) (5:24)
- Arc Length with Parametric Equations (p. 11) (5:57)
Parametric Equations — Practice Exam Questions
Available in
days
days
after you enroll
- Practice Exam Questions
- Practice Exam Questions Answer Key
- Graphing Parametric Equations Practice Exam Solutions (5:30)
- The First Derivative with Parametric Equations Practice Exam Solutions (8:08)
- The Second Derivative with Parametric Equations Practice Exam Solutions (5:23)
- Area & Arc Length with Parametric Equations Practice Exam Solutions (12:18)
Polar Coordinates — Topic Review (⏱️ <77 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Polar Coordinates Integral and Area Calculator
- How to Go Through This Study Guide (1:01)
- Polar Coordinates Overview (p. 3-4) (6:53)
- Converting Between Polar and Rectangular Coordinates (p. 5-6) (5:56)
- Converting Between Polar and Rectangular Equations (p. 7-8) (4:58)
- Polar Equations and Graphs (p. 9-12) (5:14)
- Graphing Circles in Polar Form (p. 13) (2:14)
- Graphing Cardioids and Limaçons (p. 14-17) (11:16)
- Graphing Roses (p. 18-19) (4:32)
- Area of Polar Curves (p. 20-21) (5:54)
- Area Between Polar Curves (p. 22-24) (23:42)
- Derivatives Involving Polar Curves (p. 25) (5:27)
Polar Coordinates — Practice Exam Questions
Available in
days
days
after you enroll
Intro to Differential Equations — Topic Review
Available in
days
days
after you enroll
Intro to Differential Equations — Practice Exam Questions
Available in
days
days
after you enroll
Vectors — Topic Review
Available in
days
days
after you enroll
Vectors — Practice Exam Questions
Available in
days
days
after you enroll
[OPTIONAL] Sh*t You Forgot from Calc 1
Available in
days
days
after you enroll
- Study Guide (print me!)
- Limits - Overview (p. 3-6) (11:20)
- Evaluating Limits - Overview (p. 7) (5:36)
- Evaluating Limits Algebraically - Piecewise Functions (p. 8) (5:26)
- Evaluating Limits Algebraically - 0/0 Form (p. 9-12) (21:28)
- Evaluating Infinite Limits - Number/0 Form (p. 13) (5:56)
- Evaluating Infinite Limits - Knowing Graphs (p. 14-15) (5:18)
- The Squeeze Theorem (p. 16) (4:42)
- Limits at Infinity and Horizontal Asymptotes (p. 17-23) (23:09)
- Derivative Rules - Overview (p. 24-25) (7:52)
- Product and Quotient Rules (p. 26-27) (12:35)
- The Chain Rule (p. 28-29) (12:27)
- Indeterminate Forms and L'Hôpital's Rule (p. 30-32) (15:02)
- Growth Rates (How to Skip L'Hôpital's Rule) (p. 33) (4:51)
- How to Do Nasty Limits and Skip the Algebra 😈 (p. 34) (4:10)
- Antiderivatives and Indefinite Integrals (p. 35-38) (13:38)
- Substitution (p. 39-42) (16:26)
- My F****ing Variable Didn't Cancel 😵💫🤬😭 (p. 43) (4:23)
- Substitution with Definite Integrals (p. 44-46) (11:52)
- Substitution vs Basic Integration (p. 47-48) (10:54)
[OPTIONAL] Sh*t You Forgot from Trig
Available in
days
days
after you enroll
- Study Guide (print me!)
- Trig Functions (p. 3) (4:25)
- The Unit Circle (p. 4-7) (17:35)
- Trig Identities (p. 8-9) (7:39)
- Solving Trig Equations and Inequalities (p. 10-11) (16:13)
- Inverse Trig Overview (p. 12-13) (7:46)
- Evaluating Mixed Trig Function Expressions (p. 14-17) (10:47)
- Evaluating Mixed Trig Function Expressions with Variables (p. 18) (3:50)
[OPTIONAL] Sh*t You Forgot from Precalc
Available in
days
days
after you enroll
- Study Guide (print me!)
- Special Products and Factoring (p. 3-6) (19:55)
- Ways to Represent a Function (p. 7-8) (7:49)
- Finding the Domain of a Function (p. 9) (4:31)
- Piecewise Functions (p. 10) (9:29)
- Even vs Odd vs Neither (p. 11-12) (6:02)
- Increasing, Decreasing, Constant (p. 13) (2:57)
- Essential Functions (p. 14-19) (15:15)
- Transforming Functions (p. 20-22) (12:22)
- Combinations of Functions (p. 23) (4:11)
- Composite Functions (p. 24) (6:26)
- Exponential Functions (p. 25) (5:01)
- Inverse Functions (p. 26-28) (11:28)
- Logarithms (p. 29-31) (9:58)
- Exponents and Logs - Side by Side (p. 32-36) (11:19)
- Linear Functions (p. 37-39) (10:20)
- Solving Inequalities (p. 40-41) (10:50)
- Rational Functions (p. 42-45) (16:34)
Your Math Tutor: Marty
Marty attended the University of Florida, where he earned a Bachelor of Science in statistics, a Bachelor of Arts in mathematics, and a Master of Science in electrical engineering.
While working as a teaching assistant for math and physics professors, he also did research on control systems. Later, he also taught high school physics and AP Computer Science.
Marty prides himself on making difficult concepts easier to understand. He’s been tutoring since he was a teenager, and he believes that anybody is capable of learning tough subjects with the right help.
Hit him up at [email protected].
Other Courses We Cover at Auburn
We offer tutoring for chemistry, physics, calculus, and more at Auburn, so have a look at the entire CramBetter catalog for AU, and pass your classes the easy way! 😏
Questions?
Check out the answers to our most frequently asked questions, or shoot us an email at [email protected] for a quick reply!