Welcome to MATH 110! This on-demand course was put together especially for MATH 110 at Penn State. 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!
MATH 110
Penn State
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
3hr2. Functions, Limits, and the Derivative
1.9hr2.15.1. One-sided Limits2.15.2. Limits2.15.3. Special Limits2.15.4. Limits2.15.5. Limits2.15.6. Limits2.15.7. Limits2.15.8. Limits2.15.9. Limits2.15.10. Limits: Indeterminate forms2.15.11. Limits2.15.12. IVT2.15.13. IVT2.15.14. IVT2.15.15. Fundamental Trig Limit2.15.16. Fundamental Trig Limit2.15.17. Squeeze Theorem2.15.18. Squeeze Theorem2.15.19. Squeeze Theorem2.15.20. Continuity
3. Differentiation
2.2hr3.12.1. Derivative by Definition3.12.2. Basic Derivatives3.12.3. Basic Derivatives3.12.4. Derivative by Definition3.12.5. Chain Rule3.12.6. Chain Rule3.12.7. Quotient Rule3.12.8. Quotient Rule3.12.9. Power of a Function Rule3.12.10. Implicit Differentiation3.12.11. Implicit Differentiation3.12.12. Second Derivative3.12.13. Logarithmic Differentiation3.12.14. Logarithmic Differentiation 3.12.15. Inverse Trigonometric Derivatives3.12.16. Tangent Lines3.12.17. Tangent Lines3.12.18. Horizontal Tangent Lines3.12.19. Product Rule3.12.20. Product Rule3.12.21. Product Rule3.12.22. Normal Line
4. Applications of the Derivative
2.8hr4.9.1. Related Rates4.9.2. Related Rates4.9.3. Related Rates4.9.4. Linear Approximation4.9.5. Linear Approximation4.9.6. Taylor Series from Definition4.9.7. Taylor Polynomials4.9.8. Maclaurin Polynomial4.9.9. Newton's Method4.9.10. Newton's Method4.9.11. L'Hopital's Rule4.9.12. L'Hopital's Rule4.9.13. L'Hopital's Rule4.9.14. Limits4.9.15. L'Hopital's Rule4.9.16. L'Hopital's Rule4.9.17. Limits4.9.18. Limits4.9.19. Extreme Value Theorem4.9.20. Rolle's Theorem4.9.21. Rolle's Theorem4.9.22. MVT4.9.23. MVT4.9.24. MVT4.9.25. MVT4.9.26. Intervals of Increase and Decrease4.9.27. Intervals of Increase and Decrease4.9.28. Critical Points4.9.29. Critical Points4.9.30. Extrema4.9.31. Extrema4.9.32. Second Derivative Test4.9.33. Curve Sketching4.9.34. Curve Sketching4.9.35. Curve Sketching4.9.36. Optimization4.9.37. Optimization4.9.38. Optimization
5. Exponential and Logarithmic Functions
49min6. Integrals
2.9hr6.16.1. Antiderivatives: Indefinite Integrals6.16.2. Indefinite Integral with Trig and Inverse Trig6.16.3. Definite Integral with Trig6.16.4. Integration by Substitution6.16.5. Integration by Substitution6.16.6. Integration by Substitution6.16.7. Integration by Substitution6.16.8. Computing Integrals6.16.9. Finite Sums6.16.10. Finite Sums6.16.11. Finite Sums6.16.12. Riemann Sums6.16.13. Riemann Sums6.16.14. Riemann Sums6.16.15. Integral from Definition6.16.16. Integral from Definition6.16.17. Definite Integral6.16.18. Substitution with Definite Integral6.16.19. Integration6.16.20. Definite Integral6.16.21. FTC I6.16.22. FTC I6.16.23. FTC I
7. Additional Topics in Integration
1.9hr7.5.1. Integration by Parts7.5.2. Integration by Parts7.5.3. Integration by Parts7.5.4. Integration by Parts7.5.5. Integration by Parts7.5.6. Trigonometric Integral7.5.7. Trigonometric Integral7.5.8. Trigonometric Integral with IBP7.5.9. Trigonometric Substitution7.5.10. Trigonometric Substitution7.5.11. Trigonometric Substitution7.5.12. Partial Fraction Decomposition7.5.13. Partial Fraction Decomposition7.5.14. Partial Fraction Decomposition7.5.15. The Trapezoid Rule7.5.16. The Trapezoid Rule7.5.17. Simpson's Rule
8. Differential Equations
1.2hrMATH 110 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.