The Course
Set sail on the calculus seas with our course as your trusty compass. Master limits, derivatives, and integrals with engaging content that cuts through the math jargon. Whether you’re prepping for Calculus or already enrolled, we’ll cover foundational concepts and tricky techniques in an approachable way.
Learn not just the "how" but the "why," making number-crunching click. By the end, you’ll be comfortable with calculus, appreciate its beauty, and have a toolkit for higher education or career challenges!
What you will learn
"Cruising Thru Calculus" caters to anyone studying or planning to take Calculus.
Unlike typical classrooms that cover multiple topics at once, each course video focuses on a single topic, allowing you to concentrate better. Each video comes with related practice problems and full solutions for immediate feedback and understanding.
Lessons are carefully structured to build on each other, ensuring you grasp fundamental concepts before tackling harder problems. This approach lets you learn at your own pace and appreciate the elegance of Calculus.
Whether you're using this as a stepping stone or exploring Calculus out of curiosity, this course is designed for your success.
Curriculum
- 1.10 Limits - Concepts and definition of limits and finding limits with graphs (17:59)
- 1.20 Right limits vs Left limits and DNE (20:47)
- 1.21 Another kind of DNE (Optional topic) (3:35)
- 1.25 Limit of Composite of Functions (Optional Topic) (14:59)
- 1.30 Algebraic Limits (7:02)
- 1.31 Algebraic Limits - Factoring (18:45)
- 1.32 Algebraic Limits - Conjugates (16:56)
- 1.33 Algebraic Limits - Complex Fractions (20:35)
- 1.40 Limits with infinity or -infinity as answers with graphs (12:36)
- 1.41 Limits with +inf or -inf algebra (22:39)
- 1.50 Limits at infinity Graph (12:09)
- Checkup 1 (Limits with a graph) (5:09)
- 1.51 Limits at infinity algebraic 1 (11:33)
- 1.52 Limits at infinity algebraic 2 (7:56)
- 1.53 Limits at infinity algebraic 3 (16:52)
- 1.54 Limits at infinity algebraic 4 (19:14)
- 1.55 Limits at infinity algebraic 5 (10:21)
- 1.60 Limits with piecewise functions (25:26)
- 1.70 A Special Limit with Absolute Value (11:38)
- 1.71 More Special Limits with Absolute Value (28:33)
- Checkup 2 (Limits Algebraically of all types) (37:43)
- 1.80 Limits with Trig Functions (31:49)
- 1.81 The Squeeze Theorem (Optional Lesson) (21:58)
- 1.90 Properties of Limits (19:27)
- 1.100 Informal continuity and their types (12:14)
- 1.101 Formal continuity (25:23)
- 1.110 Intermediate Value Theorem (35:21)
- 1.120 Average Rate of Change (19:10)
- 1.121 Secant Line and its slope (16:13)
- 1.300 Informal Tangent Line (14:16)
- 1.301 The Tangent Line Problem and its solution (37:23)
- 1.302 A different tangent line equation (24:18)
- 1.400 Limit definition of derivative (19:43)
- Checkup 3 (Tangent lines with difference Quotients) (24:56)
- Limit Test Review (49:57)
- Limit Flow Chart (40:45)
- Limit Test
- 2.10 Finding the slope of the tangent line more quickly (14:32)
- 2.20 Derivative Rule: Power Rule (24:20)
- 2.30 Derivative of Sine/Cosine (11:20)
- 2.40 Product Rule (22:17)
- 2.50 Quotient Rule (23:14)
- 2.60 Derivatives of the other trig functions (14:08)
- 2.70 Chain Rule (15:16)
- 2.71 Multiple Chain Rules and Trig Functions (24:41)
- Checkup 4 (Chain Rule + all other rules) (30:51)
- 2.80 Derivative of Absolute Value (Optional Topic) (13:40)
- 2.81 Estimates Derivatives with Tables (Optional Topic) (8:03)
- 2.90 Higher Order Derivatives (8:58)
- 2.91 Tangent Line Vs Normal Line (Optional Topic) (14:48)
- 2.100 Real World Problems Part 1 (31:26)
- 2.101 Real World Problems Part 2 (22:40)
- 2.102 Real World Problems Part 3 (24:26)
- Checkup 5 (Real World Problems) (17:34)
- 2.200 Implicit Differentiation (39:15)
- 2.210 Related Rates (61:27)
- Checkup 6 (Related Rates) (23:35)
- 2.310 Where Derivatives Don’t Exist (19:01)
- 2.320 Increasing and Decreasing (23:21)
- 2.330 First Derivative Test (35:58)
- 2.340 Absolute maximums and minimums (21:28)
- 2.350 Concavity and Points of Inflection (30:16)
- 2.360 Second Derivative Test (35:16)
- Checkup 7 (Tests with Derivatives) (27:21)
- 2.400 Graphing Derivatives (26:27)
- 2.500 Rolles and Mean Value Theorem (29:04)
- 2.600 Optimization Problems (32:47)
- 2.650 Linearization (Optional Topic) (22:04)
- 2.660 Newton’s Method (Optional Topic) (33:19)
- Checkup 8 (Optimization Problems) (29:53)
- 2.700 Derivatives of logarithms (18:39)
- 2.710 Logarithmic differentiation (19:19)
- 2.720 Derivatives of exponentials (13:36)
- 2.730 Derivatives of Inverse Trig Functions (11:19)
- 2.740 Derivatives of Inverse Functions (16:29)
- 2.800 L’Hopital’s Rule (25:41)
- Derivative Test Review (66:59)
- Derivative Test
- 3.000 Opposite of the derivative - AntiDerivative (22:57)
- 3.010 Antiderivative of trig functions (9:05)
- 3.020 Antiderivatives of Natural Log and Natural Exponential (7:10)
- 3.030 Antiderivatives of Exponentials with other bases (Optional Topic) (4:28)
- 3.100 General Solutions vs Particular Solutions (11:39)
- 3.200 Sigma Notation Introduction (15:43)
- 3.210 Sigma Notation Properties and Formulas (16:39)
- 3.300 Area under curves - Riemann Sum part 1 (Right Riemann Sum) (33:52)
- 3.310 Area under curves - Riemann Sum part 2 (Left Riemann Sum) (17:04)
- 3.320 Area under curves - Riemann Sum part 3 (Midpoint Sum) (15:42)
- 3.330 Area under curves - Riemann Sum part 4 (Trapezoid Sum) (21:29)
- Checkup 9 (Estimating Areas) (19:38)
- 3.340 Area under curves - Riemann Sum part 5 (Exact Area) (37:16)
- 3.400 The Integral (17:03)
- 3.410 Integrals with Absolute Values (17:37)
- 3.500 Fundamental Theorem of Calculus 1 (16:33)
- 3.510 Fundamental Theorem of Calculus 2 (24:34)
- 3.600 Integrating Even vs Odd Functions (Optional Topic) (18:33)
- 3.700 Average Value (17:06)
- 3.800 U-Substitution part 1 (18:08)
- 3.810 U-Substitution part 2 (25:09)
- 3.820 U-Substitution part 3 (24:44)
- 3.900 Antiderivatives of inverse trig functions (27:23)
- Checkup 10 (Evaluating tricky integrals) (16:08)
- 3.1000 Area between two curves part 1 (23:37)
- 3.1100 Area between two curves part 2 (19:33)
- 3.2000 Volumes by slicing (38:22)
- 3.2100 Volumes by Disk Method (38:37)
- 3.2200 Volumes by Washer Method (34:05)
- 3.2300 Volumes by Shell Method (Optional Method) (37:46)
- Checkup 11 (Volumes) (39:33)
- Integral Test Review (72:51)
- Integral Test
Your instructor
Alex is an experienced educator with a passion for math. With a Bachelor's degree in Applied Mathematics and over a decade of teaching, Alex makes complex concepts understandable and engaging.
"Cruising Thru Calculus" reflects Alex's philosophy: learning calculus should be enjoyable. The course is designed to build understanding through real-life applications, revealing the beauty and practicality of calculus.
The curriculum includes structured, topic-focused videos, practice problems, and comprehensive solutions, allowing students to learn at their own pace. Alex's innovative teaching methods have helped countless students improve grades and reduce stress.
Whether you're preparing for Calculus or currently studying it, "Cruising Thru Calculus" offers a supportive, well-organized learning experience designed for your success. Join Alex and discover the enjoyment and accessibility of calculus.