Every Topic 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
Vectors & 3D Space — Topic Review (⏱️ < 79 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- 3D Coordinates, Distance, & Spheres (p. 3-6) (14:23)
- Vectors & Basic Operations (p. 7-13) (16:55)
- The Dot Product & Vector Projections (p. 14-17) (13:35)
- Direction Angles & Direction Cosines (p. 18-19) (4:17)
- The Cross Product (p. 20-25) (25:30)
- Applications of the Cross Product: Torque (p. 26) (3:38)
Vectors & 3D Space — Practice Exam Questions
Available in
days
days
after you enroll
Lines, Planes & Surfaces — Topic Review (⏱️ < 85 min)
Available in
days
days
after you enroll
Lines, Planes & Surfaces — Practice Exam Questions
Available in
days
days
after you enroll
Vector Functions — Topic Review (⏱️ < 77 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Vector Functions & Space Curves (p. 3-7) (15:26)
- Derivatives & Integrals of Vector Functions (p. 8-11) (13:50)
- Arc Length & Curvature (p. 12-14) (13:59)
- Normal & Binormal Vectors (p. 15-17) (16:10)
- The TNB Frame & Torsion (p. 18-19) (8:21)
- Velocity & Acceleration in 3D Space (p. 20-22) (9:11)
Vector Functions — Practice Exam Questions
Available in
days
days
after you enroll
- Practice Exam Questions
- Practice Exam Questions Answer Key
- Vector Functions & Space Curves Practice Exam Solutions (5:28)
- Derivatives & Integrals of Vector Functions Practice Exam Solutions (14:16)
- Arc Length & Curvature Practice Exam Solutions (38:41)
- Normal & Binormal Vectors Practice Exam Solutions (20:55)
- Velocity & Acceleration Practice Exam Solutions (9:30)
Multivariate Functions & Partial Derivatives — Topic Review (⏱️ < 92 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Functions of More Than One Variable (p. 3-7) (16:09)
- Limits & Continuity for Multivariate Functions (p. 8-10) (11:45)
- Partial Derivatives (p. 11-15) (10:17)
- Contour Maps & Partial Derivatives (p. 16-17) (12:35)
- Tangent Planes, Linear Approximations & Differentials (p. 18-22) (16:02)
- The Chain Rule in Multiple Variables (p. 23-25) (16:39)
- Implicit Differentiation for Multivariable Functions (p. 26-29) (8:24)
Multivariate Functions & Partial Derivatives — Practice Exam Questions
Available in
days
days
after you enroll
- Practice Exam Questions
- Practice Exam Questions Answer Key
- Functions of More Than One Variable Practice Exam Solutions (8:16)
- Limits & Continuity for Multivariate Functions Practice Exam Solutions (11:46)
- Partial Derivatives Practice Exam Solutions (11:48)
- Tangent Planes, Linear Approximations, & Differentials Practice Exam Solutions (16:02)
- The Chain Rule in Multiple Variables Practice Exam Solutions (19:38)
- Implicit Differentiation Practice Exam Solutions (8:56)
The Gradient, Directional Derivative, & Second Derivative Test — Topic Review (⏱️ < 43 min)
Available in
days
days
after you enroll
The Gradient, Directional Derivative, & Second Derivative Test — Practice Exam Questions
Available in
days
days
after you enroll
Absolute Extrema & Lagrange Multipliers — Topic Review (⏱️ < 64 min)
Available in
days
days
after you enroll
Absolute Extrema & Lagrange Multipliers — Practice Exam Questions
Available in
days
days
after you enroll
Double Integrals — Topic Review (⏱️ < 83 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Double Integrals, Volume, & Iterated Integrals (p. 3-6) (15:00)
- Double Integrals Over General Regions (p. 7-10) (22:10)
- Average Value (p. 11) (6:24)
- Changing the Order of Integration (p. 12-14) (15:35)
- Double Integrals in Polar Coordinates (p. 15-18) (23:56)
- Parent Graphs Reference
Double Integrals — Practice Exam Questions
Available in
days
days
after you enroll
Triple Integrals & Change of Variables — Topic Review (⏱️ < 106 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Triple Integrals (p. 3-6) (24:33)
- Changing the Order of Integration (p. 7-9) (17:48)
- Triple Integrals in Cylindrical Coordinates (p. 10-13) (16:48)
- Triple Integrals in Spherical Coordinates (p. 14-20) (28:55)
- Change of Variables & the Jacobian (p. 21-24) (17:49)
Triple Integrals & Change of Variables — Practice Exam Questions
Available in
days
days
after you enroll
- Practice Exam Questions
- Practice Exam Questions Answer Key
- Changing the Order of Integration Practice Exam Solutions (19:34)
- Cylindrical Coordinates Practice Exam Solutions (15:45)
- Spherical Coordinates Practice Exam Solutions (33:05)
- Change of Variables Practice Exam Solutions (20:30)
- Triple Integrals Mixed Practice Practice Exam Solutions (51:58)
Applications of Multiple Integrals — Topic Review (⏱️ < 52 min)
Available in
days
days
after you enroll
Applications of Multiple Integrals — Practice Exam Questions
Available in
days
days
after you enroll
Vector Fields, Line Integrals, & Green's Theorem — Topic Review (⏱️ < 129 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Vector Fields (p. 3-9) (16:48)
- Line Integrals (p. 10-17) (26:56)
- Line Integrals of Vector Fields (p. 18-21) (9:51)
- The Fundamental Theorem for Line Integrals (p. 22-27) (16:51)
- Conservative Vector Fields & Potential Functions (p. 28-31) (13:59)
- 3D Vector Fields & Potential Functions (p. 32-34) (13:14)
- Green's Theorem (p. 35-40) (21:31)
- Extending Green's Theorem to Other Region Types (p. 41-44) (9:27)
Vector Fields, Line Integrals, & Green's Theorem — Practice Exam Questions
Available in
days
days
after you enroll
Curl, Divergence, & Surface Integrals — Topic Review (⏱️ < 132 min)
Available in
days
days
after you enroll
- Study Guide (fill this in as you watch the videos!)
- Curl (p. 3-5) (8:58)
- Divergence (p. 6-7) (4:23)
- Vector Forms of Green's Theorem (p. 8-10) (11:02)
- Parametric Surfaces (p. 11-18) (18:14)
- Tangent Planes & Parametric Surfaces (p. 19-20) (7:25)
- Surface Area (p. 21-24) (21:51)
- Surface Integrals (p. 25-29) (31:36)
- Surface Integrals of Vector Fields (Flux) (p. 30-36) (28:05)
Curl, Divergence, & Surface Integrals — Practice Exam Questions
Available in
days
days
after you enroll
Stokes' Theorem & The Divergence Theorem — Topic Review (⏱️ < 31 min)
Available in
days
days
after you enroll
Stokes' Theorem & The Divergence Theorem — 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
- How to Go Through This Study Guide (1:01)
- Study Guide (fill this in as you watch the videos!)
- Polar Coordinates Integral and Area Calculator
- 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
[OPTIONAL] Sh*t You Forgot from Calc 2
Available in
days
days
after you enroll
- Study Guide (print me!)
- Improper Integrals (p. 3-6) (16:42)
- Deciding the Right Integration Method to Use (p. 7-8) (7:55)
- 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)
- Trig Integrals Overview (p. 19-20) (5:04)
- Trig Integrals with Powers of Sine and Cosine (p. 21-23) (15:53)
- Trig Integrals with Sine and Cosine with Different Angles (p. 24) (3:28)
- Trig Integrals with Tangent and Secant - TOES (p. 25-27) (11:26)
- Trig Integrals with Tangent and Secant - No TOES (p. 28-29) (11:46)
- Partial Fraction Decomposition - Overview (p. 30-32) (11:59)
- Integration with Linear Factors (p. 33-34) (13:58)
- Integration with Irreducible Quadratic Factors (p. 35-36) (12:23)
[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) (30:04)
- 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) (15:38)
- 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) (12:52)
- 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
We offer tutoring for chemistry, physics, calculus, and more, so have a look at the entire CramBetter course catalog, 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!