MATH 1LS3
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Course Overview
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Lessons & Practice
I. Welcome
1. Chapter 1: Introduction to Models and Functions
2.8hr2. Chapter 2: Modelling Using Elementary Functions
2.5hr3. Chapter 3: Discrete-Time Dynamical Systems
26min3.2.1. How to model a discrete dynamical system1 min3.2.2. Solving a Discrete Time dynamical System3 min3.2.3. Manipulation of the Update Function2 min3.2.4. Example: Dynamical System 12 min3.2.5. Example: Dynamical System 247 sec3.2.6. Example: Dynamical System 32 min3.2.7. Example: Dynamical System 452 sec
4. Chapter 4: Limits, Continuity & Derivatives
1.7hr4.12.1. 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. Chapter 5: Differentiation Rules and Working with Derivatives
2.6hr5.17.1. Derivative by Definition5.17.2. Basic Derivatives5.17.3. Basic Derivatives1 min5.17.4. Derivative by Definition5.17.5. Chain Rule5.17.6. Chain Rule5.17.7. Quotient Rule10 min5.17.8. Quotient Rule2 min5.17.9. Power of a Function Rule2 min5.17.10. Implicit Differentiation5.17.11. Implicit Differentiation5.17.12. Second Derivative6 min5.17.13. Logarithmic Differentiation4 min5.17.14. Logarithmic Differentiation 5.17.15. Inverse Trigonometric Derivatives5.17.16. Tangent Lines5.17.17. Tangent Lines5.17.18. Horizontal Tangent Lines2 min5.17.19. Product Rule6 min5.17.20. Product Rule4 min5.17.21. Product Rule4 min5.17.22. Normal Line5 min
6. Chapter 6: Applications of Derivatives
5hr6.20.1. Related Rates6.20.2. Related Rates5 min6.20.3. Related Rates5 min6.20.4. Linear Approximation4 min6.20.5. Linear Approximation6.20.6. Taylor Series from Definition7 min6.20.7. Taylor Polynomials6.20.8. Maclaurin Polynomial6.20.9. Newton's Method2 min6.20.10. Newton's Method6.20.11. L'Hopital's Rule6.20.12. L'Hopital's Rule6.20.13. L'Hopital's Rule6.20.14. Limits6.20.15. L'Hopital's Rule6.20.16. L'Hopital's Rule6.20.17. Limits6.20.18. Limits6.20.19. Extreme Value Theorem6.20.20. Rolle's Theorem1 min6.20.21. Rolle's Theorem6 min6.20.22. MVT6.20.23. MVT2 min6.20.24. MVT3 min6.20.25. MVT6.20.26. Intervals of Increase and Decrease6.20.27. Intervals of Increase and Decrease3 min6.20.28. Critical Points6 min6.20.29. Critical Points1 min6.20.30. Extrema5 min6.20.31. Extrema6 min6.20.32. Second Derivative Test10 min6.20.33. Curve Sketching6.20.34. Curve Sketching12 min6.20.35. Curve Sketching6.20.36. Optimization6.20.37. Optimization6.20.38. Optimization
7. Chapter 7: Integrals and Applications
4hr7.24.1. Antiderivatives: Indefinite Integrals7.24.2. Indefinite Integral with Trig and Inverse Trig7.24.3. Definite Integral with Trig1 min7.24.4. Integration by Substitution7.24.5. Integration by Substitution2 min7.24.6. Integration by Substitution3 min7.24.7. Integration by Substitution3 min7.24.8. Computing Integrals3 min7.24.9. Finite Sums3 min7.24.10. Finite Sums7.24.11. Finite Sums7.24.12. Riemann Sums7.24.13. Riemann Sums7.24.14. Riemann Sums7.24.15. Integral from Definition3 min7.24.16. Integral from Definition7.24.17. Definite Integral2 min7.24.18. Substitution with Definite Integral3 min7.24.19. Integration7.24.20. Definite Integral7.24.21. FTC I7.24.22. FTC I7.24.23. FTC I
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