1. Chapter 1 & 2: Sets/Preliminaries & Algebra Review

2.4hr

1.1.1. The Real Number System4 min

1.2.1. Interval Notation 4 min

1.2.2. Set Notation3 min

1.2.3. Example4 min

1.2.4. Practice Level 12 min

1.2.5. Practice Level 252 sec

1.3.1. Review of Linear Equations5 min

1.3.2. Slope and y-intercept of Linear Equations3 min

1.4.1. Domain2 min

1.4.2. Range2 min

1.4.3. Example2 min

1.4.4. Practice 40 sec

1.4.5. Practice 3 min

1.5.1. Operations with Functions3 min

1.5.2. Example2 min

1.5.3. Practice2 min

1.5.4. Practice1 min

1.6.1. Basic of Polynomials4 min

1.6.2. Example2 min

1.6.3. Practice3 min

1.6.4. Polynomial Graphs & Characteristics4 min

1.6.5. Example2 min

1.6.6. Practice2 min

1.7.1. Completing the Square (

ax^2+bx+c

)3 min

1.7.2. Example4 min

1.7.3. Practice Level 14 min

1.7.4. Practice Level 25 min

1.7.5. Practice Level 37 min

1.7.6. Extra Completing the Square Practice Drill 💪

1.8.1. Factoring 5 min

1.8.2. Factoring a Difference & Sum of Cubes3 min

1.8.3. Example2 min

1.8.4. Practice46 sec

1.8.5. Practice2 min

1.8.6. Practice2 min

1.9.1. Dividing Polynomials - Long Division6 min

1.9.2. Example3 min

1.9.3. Dividing Polynomials - Synthetic Division8 min

1.9.4. Example2 min

1.9.5. Practice2 min

1.9.6. Practice3 min

1.10.1. Solving Systems of Equations9 min

1.10.2. Example6 min

1.10.3. Practice Level 12 min

1.10.4. Practice Level 25 min

1.10.5. Practice Level 35 min

1.10.6. Practice Level 3 (Riddle)

2. Chapter 3: Some Trigonometry

2.5hr

2.1.1. Special Angles & Special Triangles (Degrees)5 min

2.1.2. Example5 min

2.1.3. Practice Level 13 min

2.1.4. Practice Level 23 min

2.2.1. Radians vs. Degrees4 min

2.2.2. Converting Between Degrees and Radians2 min

2.2.3. Example1 min

2.2.4. Practice Level 11 min

2.2.5. Practice Level 1

2.2.6. Practice Level 1

2.2.7. Practice Level 22 min

2.2.8. Practice Level 3

2.3.1. Trigonometric Ratios in Radians9 min

2.3.2. Example4 min

2.3.3. Practice Level 13 min

2.3.4. Practice Level 22 min

2.3.5. Practice Level 32 min

2.4.1. The Sine Law3 min

2.4.2. Practice Level 1 (Warm up)2 min

2.4.3. Practice Level 1 (Warm up)5 min

2.4.4. Practice Level 1 (Warm up)4 min

2.4.5. Example5 min

2.4.6. Example5 min

2.4.7. Practice Level 24 min

2.4.8. Practice Level 34 min

2.5.1. Cosine Law4 min

2.5.2. Practice Level 1 (Warm up)3 min

2.5.3. Practice Level 1 (Warm up)5 min

2.5.4. Example2 min

2.5.5. Example3 min

2.5.6. Practice Level 23 min

2.5.7. Practice Level 34 min

2.6.1. Reciprocal & Quotient Identities2 min

2.6.2. Example57 sec

2.6.3. Practice Level 12 min

2.6.4. Practice Level 23 min

2.6.5. Practice Level 35 min

2.7.1. Sum & Difference Identities2 min

2.7.2. Example1 min

2.7.3. Practice Level 1

2.7.4. Practice Level 2

2.7.5. Practice Level 2

2.7.6. Practice Level 2

2.7.7. Practice Level 3

2.8.1. Double Angle Identities2 min

2.8.2. Example4 min

2.8.3. Half-Angle Identities3 min

2.8.4. Example2 min

2.8.5. Practice Level 1

2.8.6. Practice Level 2

2.8.7. Practice Level 3

2.9.1. Solving Linear Trigonometric Equations4 min

2.9.2. Example3 min

2.9.3. Practice Level 1

2.9.4. Practice Level 21 min

2.9.5. Practice Level 33 min

2.10.1. Solving Quadratic Trigonometric Equations4 min

2.10.2. Example4 min

2.10.3. Practice Level 1

2.10.4. Practice Level 22 min

2.10.5. Practice Level 32 min

2.Q. Checkpoint Quiz5 Qns

3. Chapter 5 & 6 & 7: Functions & Famous Functions

2.8hr

3.1.1. Function Notation7 min

3.1.2. Example3 min

3.1.3. Practice (Level 1)2 min

3.1.4. Practice (Level 2)1 min

3.1.5. Practice (Level 3)4 min

3.2.1. Activity: Exploring Quadratic Relations

3.2.2. Quadratic Functions3 min

3.2.3. Example7 min

3.2.4. Practice Level 15 min

3.2.5. Practice Level 25 min

3.2.6. Practice Level 2

3.2.7. Practice Level 37 min

3.3.1. Polynomial Graphs & Characteristics4 min

3.3.2. Example2 min

3.3.3. Practice Level 12 min

3.4.1. Rational Functions4 min

3.4.2. Solving Rational Equations3 min

3.5.1. Radical Functions59 sec

3.5.2. Solving Radical Equations5 min

3.5.3. Example5 min

3.5.4. Practice8 min

3.6.1. Exponential Functions3 min

3.6.2. Example1 min

3.6.3. Example2 min

3.7.1. Logarithmic Functions4 min

3.7.2. Example3 min

3.7.3. Example:3 min

3.7.4. Practice2 min

3.8.1. Piecewise Functions4 min

3.8.2. Example5 min

3.8.3. Practice Level 13 min

3.8.4. Practice Level 24 min

3.8.5. Practice Level 32 min

3.9.1. Absolute Value Function1 min

3.9.2. Example3 min

3.10.1. Inverse Functions3 min

3.10.2. Example3 min

3.10.3. Practice2 min

3.11.1. Trigonometric Functions6 min

3.11.2. Example4 min

3.11.3. Trig Identities2 min

3.11.4. Practice3 min

3.11.5. Practice4 min

3.12.1. Inverse Trigonometric Functions4 min

3.12.2. Example3 min

3.12.3. Practice2 min

3.12.4. Practice2 min

4. Chapter 8: Sequences & Series

2.6hr

4.1.1. Sequence5 min

4.1.2. Arithmetic Sequence6 min

4.1.3. Practice Level 13 min

4.1.4. Practice Level 13 min

4.1.5. Practice Level 22 min

4.1.6. Practice Level 37 min

4.1.7. Summary - Arithmetic Sequence

4.2.1. Geometric Sequences8 min

4.2.2. Example3 min

4.2.3. Practice Level 13 min

4.2.4. Practice Level 24 min

4.2.5. Practice Level 37 min

4.2.6. Summary - Geometric Sequence

4.3.1. Recursive Sequences9 min

4.3.2. Example6 min

4.3.3. Practice Level 15 min

4.3.4. Practice Level 23 min

4.3.5. Practice Level 33 min

4.4.1. Arithmetic Series9 min

4.4.2. Example3 min

4.4.3. Practice Level 13 min

4.4.4. Practice Level 25 min

4.4.5. Practice Level 34 min

4.4.6. Summary - Arithmetic Series

4.5.1. Geometric Series6 min

4.5.2. Example5 min

4.5.3. Practice Level 13 min

4.5.4. Practice Level 27 min

4.5.5. Practice Level 34 min

4.5.6. Summary - Geometric Series

4.6.1. Infinite series4 min

4.6.2. Example: Series Convergence2 min

4.7.1. Pascal's Triangle3 min

4.7.2. Binomial Expansion

4.7.3. Example6 min

4.7.4. Practice Level 12 min

4.7.5. Practice Level 28 min

4.7.6. Practice Level 34 min

5. Chapter 9: Some Business Applications

2.3hr

5.1.1. Simple Interest8 min

5.1.2. Example3 min

5.1.3. Practice Level 13 min

5.1.4. Practice Level 23 min

5.1.5. Practice Level 34 min

5.2.1. Compound Interest9 min

5.2.2. Example5 min

5.2.3. Example4 min

5.2.4. Practice Level 13 min

5.2.5. Practice Level 23 min

5.2.6. Practice Level 36 min

5.3.1. Present Value3 min

5.3.2. Example: Net Present Value6 min

5.3.3. Concept Clarifier: Net Present Value (NPV) 5 min

5.3.4. Practice: Present Value1 min

5.4.1. Time Value of Money27 min

5.4.2. Concept Clarifier: Annuity Due (Future Value)8 min

5.5.1. Investments and Loans with Regular Payments8 min

5.5.2. Example5 min

5.5.3. Example5 min

5.5.4. Practice Level 14 min

5.5.5. Practice Level 1 (Spreadsheets)

5.5.6. Practice Level 24 min

5.5.7. Practice Level 38 min

6. Chapter 10: Limits & Continuity

1.7hr

6.1.1. Limit Basics2 min

6.1.2. Example1 min

6.2.1. Limit Laws 2 min

6.2.2. Practice1 min

6.3.1. One-Sided Limits2 min

6.3.2. Example: One-Sided Limit2 min

6.3.3. Practice: One-Sided Limits3 min

6.4.1. Infinite Limits2 min

6.4.2. Example1 min

6.4.3. Example3 min

6.5.1. Limits at Infinity3 min

6.5.2. Example60 sec

6.5.3. Example3 min

6.5.4. Example4 min

6.5.5. Practice 3 min

6.5.6. Practice3 min

6.6.1. Indeterminate Forms50 sec

6.7.1. Computing Limits by Factoring1 min

6.7.2. Example1 min

6.7.3. Practice2 min

6.8.1. Computing Limits by Multiplying by the Conjugate3 min

6.8.2. Example3 min

6.8.3. Practice3 min

6.9.1. Computing Limits by Getting a Common Denominator1 min

6.9.2. Example2 min

6.9.3. Practice4 min

6.10.1. The Fundamental Trig Limit2 min

6.10.2. Example3 min

6.11.1. Continuity2 min

6.11.2. Example2 min

6.11.3. Practice4 min

6.12.1. The Intermediate Value Theorem2 min

6.12.2. Example2 min

6.12.3. Practice2 min

7. Chapter 11: Differential Calculus

2.4hr

7.1.1. Derivatives as a Rate of Change2 min

7.1.2. Average Rate of Change46 sec

7.1.3. Example2 min

7.1.4. Practice1 min

7.2.1. The Limit Definition of a Derivative2 min

7.2.2. Example3 min

7.2.3. Practice5 min

7.2.4. When is Function Not Differentiable?

7.3.1. Differentiation Laws51 sec

7.4.1. The Power Rule1 min

7.4.2. Example2 min

7.4.3. Practice51 sec

7.5.1. Derivatives of Exponential Functions1 min

7.5.2. Example52 sec

7.5.3. Example3 min

7.5.4. Practice1 min

7.6.1. Derivatives of Logarithmic Functions1 min

7.6.2. Example56 sec

7.6.3. Example2 min

7.6.4. Practice2 min

7.6.5. Practice: Log and Ln2 min

7.7.1. Derivatives of Trigonometric Functions1 min

7.8.1. The Product Rule49 sec

7.8.2. Example2 min

7.8.3. Example2 min

7.8.4. Practice2 min

7.9.1. The Quotient Rule1 min

7.9.2. Example2 min

7.9.3. Practice4 min

7.10.1. The Chain Rule1 min

7.10.2. Example2 min

7.10.3. Practice3 min

7.11.1. Tangent Lines1 min

7.11.2. Example3 min

7.11.3. Practice2 min

7.12.1. Normal Lines1 min

7.12.2. Example3 min

7.12.3. Practice1 min

7.13.1. Higher Order Derivatives2 min

7.13.2. Example3 min

7.13.3. Practice2 min

7.13.4. Practice2 min

7.14.1. Derivatives of Inverse Functions52 sec

7.14.2. Example2 min

7.14.3. Practice3 min

7.15.1. Inverse Trig Derivatives1 min

7.15.2. Example1 min

7.15.3. Practice3 min

8. Chapter 12: Graphs of the Derivative

4hr

8.1.1. L’Hopital’s Rule2 min

8.1.2. Example2 min

8.1.3. Practice5 min

8.2.1. Solving General Indeterminate Forms2 min

8.2.2. Example2 min

8.2.3. Practice5 min

8.2.4. Practice2 min

8.3.1. Extreme Value Theorem1 min

8.4.1. Rolle's Theorem1 min

8.4.2. Example2 min

8.4.3. Practice1 min

8.5.1. Fermat's Theorem47 sec

8.6.1. The Mean Value Theorem1 min

8.6.2. Example2 min

8.6.3. Practice2 min

8.7.1. Critical Points and Extrema2 min

8.7.2. Example

8.7.3. Practice3 min

8.8.1. Intervals of Increase and Decrease1 min

8.8.2. Example2 min

8.8.3. Practice3 min

8.9.1. 1st and 2nd Derivative Tests3 min

8.9.2. Example7 min

8.9.3. Example

8.9.4. Practice3 min

8.10.1. Maximum and Minimum on Closed Intervals2 min

8.10.2. Example4 min

8.10.3. Practice3 min

8.10.4. Practice3 min

8.11.1. Concavity and Inflection Points56 sec

8.11.2. Example6 min

8.11.3. Practice6 min

8.12.1. Curve Sketching2 min

8.12.2. Example7 min

8.12.3. Example: Curve Sketching (Polynomial)14 min

8.12.4. Example: Curve Sketching (Rational Function)21 min

8.12.5. Practice9 min

8.12.6. Practice

8.13.1. Optimization1 min

8.13.2. Example4 min

8.13.3. Example4 min

8.13.4. Practice6 min

8.13.5. Practice4 min

8.14.1. Related Rates

8.14.2. Related Rates5 min

8.14.3. Related Rates5 min

8.14.4. Linear Approximation4 min

8.14.5. Linear Approximation

8.14.6. Taylor Series from Definition7 min

8.14.7. Taylor Polynomials

8.14.8. Maclaurin Polynomial

8.14.9. Newton's Method2 min

8.14.10. Newton's Method

8.14.11. L'Hopital's Rule

8.14.12. L'Hopital's Rule

8.14.13. L'Hopital's Rule

8.14.14. Limits

8.14.15. L'Hopital's Rule

8.14.16. L'Hopital's Rule

8.14.17. Limits

8.14.18. Limits

8.14.19. Extreme Value Theorem

8.14.20. Rolle's Theorem1 min

8.14.21. Rolle's Theorem6 min

8.14.26. Intervals of Increase and Decrease

8.14.27. Intervals of Increase and Decrease3 min

8.14.28. Critical Points6 min

8.14.29. Critical Points1 min

8.14.30. Extrema5 min

8.14.31. Extrema6 min

8.14.32. Second Derivative Test10 min

8.14.33. Curve Sketching

8.14.34. Curve Sketching12 min

8.14.35. Curve Sketching

8.14.36. Optimization

8.14.37. Optimization

8.14.38. Optimization

9. Business Applications to Derivatives

34min

9.1.1. Cost, Revenue, and Profit2 min

9.1.2. Example3 min

9.1.3. Practice2 min

9.1.4. Practice4 min

9.2.1. Elasticity of Demand2 min

9.2.2. Example3 min

9.2.3. Practice: Elasticity of Demand4 min

9.3.1. Elasticity of Demand

9.3.2. Elasticity of Demand

9.3.3. Profit5 min

9.3.4. Optimization w/ Profit6 min

9.3.5. Profit

9.3.6. Revenue

9.3.7. Compound Interest3 min

9.3.8. Compound Interest

10. Introduction to Integrals

2.7hr

10.1.1. Antiderivatives (Indefinite Integral)3 min

10.1.2. Example2 min

10.1.3. Practice1 min

10.1.4. Practice1 min

10.1.5. Practice1 min

10.2.1. Antiderivatives (Indefinite Integral) of Exponential Functions1 min

10.2.2. Example42 sec

10.2.3. Practice1 min

10.2.4. Practice2 min

10.3.1. Antiderivatives (Indefinite Integral) of

\frac{1}{x}

2 min

10.3.2. Example2 min

10.3.3. Practice1 min

10.4.1. Initial Conditions2 min

10.4.2. Example2 min

10.4.3. Practice5 min

10.5.1. Finite Sums & Summation Notation3 min

10.5.2. Example5 min

10.5.3. Practice4 min

10.5.4. Practice4 min

10.6.1. Approximating Areas & Riemann Sums 3 min

10.6.2. Example4 min

10.6.3. Practice3 min

10.7.1. The Definite Integrals & Area Under a Curve2 min

10.7.2. Example7 min

10.7.3. Practice2 min

10.7.4. Practice12 min

10.8.1. Properties of the Definite Integral2 min

10.8.2. Practice2 min

10.8.3. Practice2 min

10.9.1. Computing Definite Integrals Geometrically44 sec

10.9.2. Example1 min

10.9.3. Practice1 min

10.10.1. Fundamental Theorem of Calculus - Part I2 min

10.10.2. Example1 min

10.10.3. Example48 sec

10.10.4. Practice1 min

10.10.5. Practice2 min

10.11.1. Fundamental Theorem of Calculus - Part 21 min

10.11.2. Example2 min

10.11.3. Example

10.11.4. Practice 4 min

10.11.5. Practice3 min

10.11.6. Practice1 min

10.12.1. Integration by Substitution2 min

10.12.2. Example4 min

10.12.3. Example3 min

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

10.12.5. Practice

10.12.6. Practice

10.12.7. Practice

10.12.8. Practice (w/ Back-Substitution)

10.13.1. Integration by Parts3 min

10.13.2. Example5 min

10.13.3. Example3 min

10.13.4. Example6 min

10.13.5. Practice

10.13.6. Practice

11. Differential Equations

1.2hr

11.1.1. Differential Equations8 min

11.1.2. Direction Fields/Slope Fields5 min

11.1.3. Practice Question: DE Solution Graphs3 min

11.2.1. Separable First Order Differential Equations3 min

11.2.2. Practice (separable DE)2 min

11.2.3. Practice (IVP)3 min

11.2.4. Practice (IVP)3 min

11.2.5. Practice (IVP*)5 min

11.2.6. Practice (separable DE)1 min

11.3.1. Linear First Order Differential Equations7 min

11.3.2. Practice (integrating factor)1 min

11.3.3. Practice (linear DE)3 min

11.3.4. Practice (IVP)3 min

11.3.5. Practice (IVP)4 min

11.4.1. Exponential Growth and Decay3 min

11.4.2. Example4 min

11.4.3. Example5 min

11.4.4. Practice5 min

11.4.5. Practice (population)3 min

11.4.6. Practice (population)4 min

11.5.1. Second-Order Reducible DE

11.5.2. Practice: Dependent Variable Missing

11.5.3. Practice: Independent Variable Missing

11.Q. Exam-Like Practice Questions4 Qns

Mock Exam

ME.1. Final Exam - Mock Assessment34 Qns

MATH 1030

Course Overview

1. Chapter 1 & 2: Sets/Preliminaries & Algebra Review

2. Chapter 3: Some Trigonometry

3. Chapter 5 & 6 & 7: Functions & Famous Functions

4. Chapter 8: Sequences & Series

5. Chapter 9: Some Business Applications

6. Chapter 10: Limits & Continuity

7. Chapter 11: Differential Calculus

8. Chapter 12: Graphs of the Derivative

9. Business Applications to Derivatives

10. Introduction to Integrals

11. Differential Equations

Mock Exam

ME.1 Final Exam - Mock Assessment

Included in Wizeprep Plus

Final Exam - Mock Assessment

Timer