Welcome to MA129! This on-demand course was put together especially for MA129 at Wilfrid Laurier University. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!
MA129
Wilfrid Laurier University
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
15hr2. Systems of Linear Equations
2.3hr2.3.1. Row Echelon Form4 min2.3.2. Example: Row Echelon Form5 min2.3.3. Practice: Row Echelon Form5 min2.3.4. Example: Interpreting Row Echelon Form16 min2.3.5. Practice: Interpreting Row Echelon Form2.3.6. Reduced Row Echelon Form4 min2.3.7. Example: Reduced Row Echelon Form5 min2.3.8. Practice: Reduced Row Echelon Form5 min
2.4.1. Transforming an Augmented Matrix to Reduced Row Echelon Form4 min2.4.2. Example: Transforming an Augmented Matrix to RREF14 min2.4.3. Practice: Transforming an Augmented Matrix to RREF14 min2.4.4. Solutions From RREF9 min2.4.5. Example: Solutions From RREF5 min2.4.6. Practice: Solutions From RREF
3. Matrix Operations
1.7hr4. Limits
1.6hr4.12.1. One-sided Limits4.12.2. Limits4.12.3. Special Limits4 min4.12.4. Limits4.12.5. Limits4.12.6. Limits4.12.7. Limits4.12.8. Limits4.12.9. Limits4.12.10. Limits: Indeterminate forms4.12.11. Limits3 min4.12.12. IVT4.12.13. IVT4.12.14. IVT5 min4.12.15. Fundamental Trig Limit5 min4.12.16. Fundamental Trig Limit3 min4.12.17. Squeeze Theorem1 min4.12.18. Squeeze Theorem4 min4.12.19. Squeeze Theorem4.12.20. Continuity
5. Derivatives
2.1hr5.14.1. Derivative by Definition5.14.2. Basic Derivatives5.14.3. Basic Derivatives1 min5.14.4. Derivative by Definition5.14.5. Chain Rule5.14.6. Chain Rule5.14.7. Quotient Rule10 min5.14.8. Quotient Rule2 min5.14.9. Power of a Function Rule2 min5.14.10. Implicit Differentiation5.14.11. Implicit Differentiation5.14.12. Second Derivative6 min5.14.13. Logarithmic Differentiation4 min5.14.14. Logarithmic Differentiation 5.14.15. Inverse Trigonometric Derivatives5.14.16. Tangent Lines5.14.17. Tangent Lines5.14.18. Horizontal Tangent Lines2 min5.14.19. Product Rule6 min5.14.20. Product Rule4 min5.14.21. Product Rule4 min5.14.22. Normal Line5 min
6. Applications of Differentiation
3hr6.9.1. Related Rates6.9.2. Related Rates5 min6.9.3. Related Rates5 min6.9.4. Linear Approximation4 min6.9.5. Linear Approximation6.9.6. Taylor Series from Definition7 min6.9.7. Taylor Polynomials6.9.8. Maclaurin Polynomial6.9.9. Newton's Method2 min6.9.10. Newton's Method6.9.11. L'Hopital's Rule6.9.12. L'Hopital's Rule6.9.13. L'Hopital's Rule6.9.14. Limits6.9.15. L'Hopital's Rule6.9.16. L'Hopital's Rule6.9.17. Limits6.9.18. Limits6.9.19. Extreme Value Theorem6.9.20. Rolle's Theorem1 min6.9.21. Rolle's Theorem6 min6.9.22. MVT6.9.23. MVT2 min6.9.24. MVT3 min6.9.25. MVT6.9.26. Intervals of Increase and Decrease6.9.27. Intervals of Increase and Decrease3 min6.9.28. Critical Points6 min6.9.29. Critical Points1 min6.9.30. Extrema5 min6.9.31. Extrema6 min6.9.32. Second Derivative Test10 min6.9.33. Curve Sketching6.9.34. Curve Sketching12 min6.9.35. Curve Sketching6.9.36. Optimization6.9.37. Optimization6.9.38. Optimization
7. Applications of Differentiation for Business & Econ
42min8. Integrals
2.3hr8.12.1. Antiderivatives: Indefinite Integrals8.12.2. Indefinite Integral with Trig and Inverse Trig8.12.3. Definite Integral with Trig1 min8.12.4. Integration by Substitution8.12.5. Integration by Substitution2 min8.12.6. Integration by Substitution3 min8.12.7. Integration by Substitution3 min8.12.8. Computing Integrals3 min8.12.9. Finite Sums3 min8.12.10. Finite Sums8.12.11. Finite Sums8.12.12. Riemann Sums8.12.13. Riemann Sums8.12.14. Riemann Sums8.12.15. Integral from Definition3 min8.12.16. Integral from Definition8.12.17. Definite Integral2 min8.12.18. Substitution with Definite Integral3 min8.12.19. Integration8.12.20. Definite Integral8.12.21. FTC I8.12.22. FTC I8.12.23. FTC I
9. Applications of Integration
1.2hr- 9.I. Chapter Intro23 sec
9.2.1. Displacement, Velocity, and Acceleration3 min9.2.2. Position, Velocity and Acceleration 2 min9.2.3. Position, Velocity and Acceleration 3 min9.2.4. Average Value of a Function2 min9.2.5. Average Value of a Function9.2.6. Average Function Value of a Function1 min9.2.7. Area Between Curves9.2.8. Area Between Curves4 min9.2.9. Area Between Curves9.2.10. Area Between Curves9.2.11. Volumes of Revolution, Cylindrical Shells9.2.12. Volumes of Revolution, Disc/Washer4 min9.2.13. Volumes of Revolution, Cylindrical Shells9.2.14. Volumes of Revolution9 min9.2.15. Arc Length4 min9.2.16. Arc Length4 min9.2.17. Arc Length with Partial Fractions7 min9.2.18. Arc Length with Perfect Square4 min9.2.19. Surface Area6 min9.2.20. Surface Area5 min
10. Partial Derivatives
1.7hr10.1.1. Basics of Dot Product1 min10.1.2. Example: Dot product1 min10.1.3. Dot product properties3 min10.1.4. Example: Orthogonal Vectors1 min10.1.5. Practice Question: Properties of Dot Product2 min10.1.6. Practice Question: Orthogonal Vectors53 sec10.1.7. Dot product and angles1 min10.1.8. Example: Dot product and Angles1 min10.1.9. Practice Question: Dot Product and angle1 min10.1.10. Planes in R32 min10.1.11. Example: Planes in R32 min10.1.12. Practice Question: Planes in R32 min10.1.13. Point of intersection between a line and a plane2 min10.1.14. Example: Intersection Between a Line and a Plane2 min10.1.15. Practice Question: Intersection of Lines and Planes57 sec10.1.16. Example: Thales' Theorem5 min
11. Differential Equations
1.2hrMA129 Overview
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Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.
Course Notes
Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.