Calculus for Engineers
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What you'll learn
This course includes
- 7.3 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 60 lessons • 7.3 hours of video
Calculus for Engineers
60 lessons
• 7.3 hours
Calculus for Engineers
60 lessons
• 7.3 hours
- Promotional Video | Calculus for Engineers 03:21
- Introduction to Real Numbers | Lecture 1 | Calculus for Engineers 06:34
- Introduction to Complex Numbers | Lecture 2 | Calculus for Engineers 08:59
- Functions and their Inverses | Lecture 3 | Calculus for Engineers 07:54
- Understanding Limits and Continuity | Lecture 4 | Calculus for Engineers 08:01
- Polynomials and Rational Functions | Lecture 5 | Calculus for Engineers 08:55
- Understanding the Exponential Function | Lecture 6 | Calculus for Engineers 05:16
- Understanding the Natural Logarithm | Lecture 7 | Calculus for Engineers 06:09
- Understanding Trigonometric Functions | Lecture 8 | Calculus for Engineers 07:43
- Inverse Trigonometric Functions | Lecture 9 | Calculus for Engineers 06:34
- Definition of the Derivative | Lecture 10 | Calculus for Engineers 08:36
- Power Rule for Derivatives | Lecture 11 | Calculus for Engineers 07:29
- Sum and Constant Multiple Rules for Derivatives | Lecture 12 | Calculus for Engineers 05:44
- Product Rule for Derivatives | Lecture 13 | Calculus for Engineers 07:12
- Quotient Rule for Derivatives | Lecture 14 | Calculus for Engineers 08:19
- Chain Rule for Derivatives | Lecture 15 | Calculus for Engineers 07:14
- Derivative of the Exponential Function | Lecture 16 | Calculus for Engineers 09:04
- Derivative of the Natural Logarithm | Lecture 17 | Calculus for Engineers 06:55
- Power Rule Redux: Extending the Power Rule to Real Exponents | Lecture 18 | Calculus for Engineers 03:23
- Derivatives of Sine and Cosine Explained | Lecture 19 | Calculus for Engineers 08:59
- Derivatives of Derived Trigonometric Functions | Lecture 20 | Calculus for Engineers 06:45
- Derivatives of Inverse Trigonometric Functions | Lecture 21 | Calculus for Engineers 06:30
- Understanding the Definite Integral | Lecture 22 | Calculus for Engineers 08:12
- First Fundamental Theorem of Calculus Explained | Lecture 23 | Calculus for Engineers 04:52
- Second Fundamental Theorem of Calculus Explained | Lecture 24 | Calculus for Engineers 05:53
- Indefinite Integrals and Antiderivatives | Lecture 25 | Calculus for Engineers 05:28
- Integration by Substitution | Lecture 26 | Calculus for Engineers 10:12
- Integration by Parts | Lecture 27 | Calculus for Engineers 07:02
- Techniques for Solving Trigonometric Integrals | Lecture 28 | Calculus for Engineers 08:05
- Trigonometric Substitution for Integration | Lecture 29 | Calculus for Engineers 06:03
- Integration using Partial Fractions | Lecture 30 | Calculus for Engineers 06:34
- Introduction to Sequences and Series | Lecture 31 | Calculus for Engineers 08:40
- Understanding p-Series and Convergence | Lecture 32 | Calculus for Engineers 11:52
- Harmonic Series and its Divergence | Lecture 33 | Calculus for Engineers 07:36
- Geometric Series and their Sums | Lecture 34 | Calculus for Engineers 05:53
- Ratio Test for Convergence of Infinite Series | Lecture 35 | Calculus for Engineers 08:03
- Power Series and Radius of Convergence | Lecture 36 | Calculus for Engineers 10:33
- Taylor Series and Function Approximation | Lecture 37 | Calculus for Engineers 09:34
- l'Hospital's Rule for Indeterminate Forms | Lecture 38 | Calculus for Engineers 06:30
- Taylor Series of Elementary Functions: Part I | Lecture 39 | Calculus for Engineers 05:34
- Taylor Series of Elementary Functions: Part II | Lecture 40 | Calculus for Engineers 08:05
- Complex Exponential Function and Euler's Formula | Lecture 41 | Calculus for Engineers 08:27
- Polar Form of Complex Numbers | Lecture 42 | Calculus for Engineers 06:47
- Trigonometric Identities Derived from Euler's Formula | Lecture 43 | Calculus for Engineers 07:13
- Calculating the Circumference of a Circle | Lecture 44 | Calculus for Engineers 07:56
- Calculating the Area of a Circle | Lecture 45 | Calculus for Engineers 09:01
- Calculating the Surface Area of a Sphere | Lecture 46 | Calculus for Engineers 10:37
- Calculating the Volume of a Sphere | Lecture 47 | Calculus for Engineers 02:34
- Newton's Method for Root Finding | Lecture 48 | Calculus for Engineers 10:08
- Trapezoidal Rule for Numerical Integration | Lecture 49 | Calculus for Engineers 07:24
- Centered Differences for Numerical Derivatives | Lecture 50 | Calculus for Engineers 05:44
- Finding Maxima and Minima using Derivatives | Lecture 51 | Calculus for Engineers 06:55
- Maximizing the Area of a Rectangle with a Fixed Perimeter | Lecture 52 | Calculus for Engineers 03:24
- Shortest Path: Minimizing Walking Distance | Lecture 53 | Calculus for Engineers 09:07
- Lifeguard Problem: Optimizing Rescue Time | Lecture 54 | Calculus for Engineers 09:15
- Position, Velocity, and Acceleration: Understanding Motion | Lecture 55 | Calculus for Engineers 05:13
- Gravity of Earth: Calculating Free Fall with Calculus | Lecture 56 | Calculus for Engineers 07:39
- Differential Equations for Growth, Decay, and Oscillations | Lecture 57 | Calculus for Engineers 07:19
- Compound Interest: Understanding Exponential Growth | Lecture 58 | Calculus for Engineers 07:16
- Simple Pendulum: Oscillations with Differential Equations | Lecture 59 | Calculus for Engineers 06:48
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