MATH 1X03

Mac

Course Overview

Lessons & Practice

I. Welcome

1. Limits, continuity, derivatives

1.8hr

1.1.1. Limit Basics2 min

1.1.2. Example1 min

1.2.1. Limit Laws 2 min

1.2.2. Practice1 min

1.3.1. One-Sided Limits2 min

1.3.2. Example: One-Sided Limit2 min

1.3.3. Practice: One-Sided Limits3 min

1.4.1. Infinite Limits2 min

1.4.2. Example1 min

1.4.3. Example3 min

1.5.1. Limits at Infinity3 min

1.5.2. Example60 sec

1.5.3. Example3 min

1.5.4. Example4 min

1.5.5. Practice 3 min

1.5.6. Practice3 min

1.6.1. Indeterminate Forms50 sec

1.7.1. Computing Limits by Factoring1 min

1.7.2. Example1 min

1.7.3. Practice2 min

1.8.1. Computing Limits by Multiplying by the Conjugate3 min

1.8.2. Example3 min

1.8.3. Practice3 min

1.9.1. Computing Limits by Getting a Common Denominator1 min

1.9.2. Example2 min

1.9.3. Practice4 min

1.10.1. The Fundamental Trig Limit2 min

1.10.2. Example3 min

1.11.1. Continuity2 min

1.11.2. Example2 min

1.11.3. Practice4 min

1.12.1. Derivatives as a Rate of Change2 min

1.12.2. Average Rate of Change46 sec

1.12.3. Example2 min

1.12.4. Practice1 min

1.13.1. The Limit Definition of a Derivative2 min

1.13.2. Example3 min

1.13.3. Practice5 min

1.13.4. When is Function Not Differentiable?

2. Using the derivative

5hr

2.1.1. Differentials2 min

2.1.2. Example3 min

2.1.3. Practice2 min

2.2.1. Differentiation Laws51 sec

2.3.1. The Power Rule1 min

2.3.2. Example2 min

2.3.3. Practice51 sec

2.4.1. The Product Rule49 sec

2.4.2. Example2 min

2.4.3. Example2 min

2.4.4. Practice2 min

2.5.1. The Quotient Rule1 min

2.5.2. Example2 min

2.5.3. Practice4 min

2.6.1. The Chain Rule1 min

2.6.2. Example2 min

2.6.3. Practice3 min

2.7.1. Derivatives of Trigonometric Functions1 min

2.8.1. Derivatives of Exponential Functions1 min

2.8.2. Example52 sec

2.8.3. Example3 min

2.8.4. Practice1 min

2.9.1. Higher Order Derivatives2 min

2.9.2. Example3 min

2.9.3. Practice2 min

2.9.4. Practice2 min

2.10.1. Implicit Differentiation2 min

2.10.2. Example3 min

2.10.3. Example3 min

2.10.4. Practice3 min

2.11.1. Derivatives of Inverse Functions52 sec

2.11.2. Example2 min

2.11.3. Practice3 min

2.12.1. Derivatives of Logarithmic Functions1 min

2.12.2. Example56 sec

2.12.3. Example2 min

2.12.4. Practice2 min

2.12.5. Practice: Log and Ln2 min

2.13.1. Inverse Trig Derivatives1 min

2.13.2. Example1 min

2.13.3. Practice3 min

2.14.1. Logarithmic Differentiation2 min

2.14.2. Example2 min

2.14.3. Practice3 min

2.15.1. Tangent Lines1 min

2.15.2. Example3 min

2.15.3. Practice2 min

2.16.1. Linearization (Linear Approximation)59 sec

2.16.2. Example3 min

2.16.3. Practice3 min

2.16.4. Practice3 min

2.17.1. Intervals of Increase and Decrease1 min

2.17.2. Example2 min

2.17.3. Practice3 min

2.18.1. Critical Points and Extrema2 min

2.18.2. Example

2.18.3. Practice3 min

2.19.1. 1st and 2nd Derivative Tests3 min

2.19.2. Example7 min

2.19.3. Example

2.19.4. Practice3 min

2.20.1. Maximum and Minimum on Closed Intervals2 min

2.20.2. Example4 min

2.20.3. Practice3 min

2.20.4. Practice3 min

2.21.1. Concavity and Inflection Points56 sec

2.21.2. Example6 min

2.21.3. Practice6 min

2.22.1. Curve Sketching2 min

2.22.2. Example7 min

2.22.3. Practice9 min

2.22.4. Practice

2.23.1. The Mean Value Theorem1 min

2.23.2. Example2 min

2.23.3. Practice2 min

2.24.1. The Intermediate Value Theorem2 min

2.24.2. Example2 min

2.24.3. Practice2 min

2.25.1. L’Hopital’s Rule2 min

2.25.2. Example2 min

2.25.3. Practice5 min

2.26.1. Solving General Indeterminate Forms2 min

2.26.2. Example2 min

2.26.3. Practice5 min

2.26.4. Practice2 min

2.27.1. Related Rates1 min

2.27.2. Example5 min

2.27.3. Example4 min

2.27.4. Practice2 min

2.27.5. Practice4 min

2.27.6. Practice4 min

2.28.1. Optimization1 min

2.28.2. Example4 min

2.28.3. Example4 min

2.28.4. Practice6 min

2.28.5. Practice4 min

2.29.1. Newton's Method1 min

2.29.2. Example

2.29.3. Example4 min

2.29.4. Practice

2.29.5. Practice2 min

3. The (definite) integral

2.7hr

3.1.1. Antiderivatives (Indefinite Integral)3 min

3.2.1. Antiderivatives (Indefinite Integral) of Trig Functions4 min

3.2.2. Example1 min

3.2.3. Practice1 min

3.2.4. Practice1 min

3.3.1. Antiderivatives (Indefinite Integrals) of Inverse Trig Functions2 min

3.3.2. Example1 min

3.3.3. Practice1 min

3.4.1. Antiderivatives (Indefinite Integral) of Exponential Functions1 min

3.4.2. Example42 sec

3.4.3. Practice1 min

3.4.4. Practice2 min

3.5.1. Antiderivatives (Indefinite Integral) of

\frac{1}{x}

2 min

3.5.2. Example2 min

3.5.3. Practice1 min

3.6.1. Initial Conditions2 min

3.6.2. Example2 min

3.6.3. Practice5 min

3.7.1. Finite Sums & Summation Notation3 min

3.7.2. Example5 min

3.7.3. Practice4 min

3.7.4. Practice4 min

3.8.1. Approximating Areas & Riemann Sums 3 min

3.8.2. Example4 min

3.8.3. Practice3 min

3.9.1. The Definite Integrals & Area Under a Curve2 min

3.9.2. Example7 min

3.9.3. Practice2 min

3.9.4. Practice12 min

3.10.1. Properties of the Definite Integral2 min

3.10.2. Practice2 min

3.10.3. Practice2 min

3.11.1. Computing Definite Integrals Geometrically44 sec

3.11.2. Example1 min

3.11.3. Practice1 min

3.12.1. Fundamental Theorem of Calculus - Part I2 min

3.12.2. Example1 min

3.12.3. Example48 sec

3.12.4. Practice1 min

3.12.5. Practice2 min

3.13.1. Fundamental Theorem of Calculus - Part 21 min

3.13.2. Example2 min

3.13.3. Example

3.13.4. Practice 4 min

3.13.5. Practice3 min

3.13.6. Practice1 min

3.14.1. Integration by Substitution2 min

3.14.2. Example4 min

3.14.3. Example3 min

3.14.4. Example (w/ Back-Substitution)4 min

3.14.5. Practice

3.14.6. Practice

3.14.7. Practice

3.14.8. Practice (w/ Back-Substitution)

4. Integration techniques and applications

1.8hr

4.1.1. Distance and Displacement (Net Change Theorem)2 min

4.1.2. Example6 min

4.1.3. Practice

4.1.4. Practice

4.2.1. Average Value of a Function47 sec

4.2.2. Example2 min

4.2.3. Practice2 min

4.3.1. Area between curves1 min

4.3.2. Example5 min

4.3.3. Example5 min

4.3.4. Practice

4.4.1. Volumes of Revolution by Cross Sections (Washers)3 min

4.5.1. Volumes of Revolution by Cylindrical Shells2 min

4.5.2. Practice

4.5.3. Practice

4.6.1. Arc Length41 sec

4.6.2. Example3 min

4.6.3. Practice4 min

4.7.1. Surface Area of Revolution1 min

4.7.2. Example5 min

4.7.3. Practice

5. Differential Equations

1.2hr

5.1.1. Differential Equations8 min

5.1.2. Direction Fields/Slope Fields5 min

5.1.3. Practice Question: DE Solution Graphs3 min

5.2.1. Separable First Order Differential Equations3 min

5.2.2. Practice (separable DE)2 min

5.2.3. Practice (IVP)3 min

5.2.4. Practice (IVP)3 min

5.2.5. Practice (IVP*)5 min

5.2.6. Practice (separable DE)1 min

5.3.1. Linear First Order Differential Equations7 min

5.3.2. Practice (integrating factor)1 min

5.3.3. Practice (linear DE)3 min

5.3.4. Practice (IVP)3 min

5.3.5. Practice (IVP)4 min

5.4.1. Exponential Growth and Decay3 min

5.4.2. Example4 min

5.4.3. Example5 min

5.4.4. Practice5 min

5.4.5. Practice (population)3 min

5.4.6. Practice (population)4 min

5.5.1. Second-Order Reducible DE

5.5.2. Practice: Dependent Variable Missing

5.5.3. Practice: Independent Variable Missing

5.Q. DE Quiz4 Qns

Mock Exam

ME.1. Mock Exam36 Qns

Leave Feedback

ME.1 Mock Exam

Included in Wizeprep Plus

Mock Exam

This mock exam has 36 questions

You must answer all questions before submitting the quiz

Timer

Enabled

mins

Want a tour?