Homepage » ALL COURSE » College of Science » Department of Applied Mathematics » Calculus I (English) | Department of Applied Mathematics Prof. MICHAEL FUCHS » 4-7 Optimization Problems, 4-10 Antiderivatives
Week | Course Content | Course Video |
---|---|---|
Chapter1 Functions and Model 1-5 Exponential Functions 1-6 Inverse Functions and Logarithms | Watch Online | |
Chapter2 Limits and Derivatives 2-2 The Limit of a Function 2-4 The Precise Definition of a Limit | Watch Online | |
2-3 Calculating Limits Using the Limit Laws 2-6 Limits at Infinity: Horizontal Asymptotes | Watch Online | |
2-5 Continuity 2-6 Limits at Infinity; Horizontal Asymptotes | Watch Online | |
2-8 Derivatives 2-9 The Derivative as a Function | Watch Online | |
Chapter3 Differentiation Rules 3-1 Derivatives of Polynomials and Exponential Functions 3-2 The Product and Quotient Rules | Watch Online | |
3-4 Derivatives of Trigonometric Functions 3-5 The Chain Rule 3-6 Implicit Differentiation | Watch Online | |
3-6 Implicit Differentiation | Watch Online | |
3-8 Derivatives of Logarithmic Functions 3-10 Related Rates | Watch Online | |
3-7 Higher Derivatives 3-11 Linear Approximations and Differentials Chapter4 Applications of Differation 4-1 Maximum and Minimum Values | Watch Online | |
4-1 Maximum and Minimum Values | Watch Online | |
4-2 The Mean Value Theorem 4-3 How Derivatives Affect the Shape of a Graph | Watch Online | |
4-4 Indeterminate Forms a nd L’Hospital’s Rule | Watch Online | |
4-7 Optimization Problems | Watch Online | |
4-5 Summary of Curve Sketching 4-7 Optimization Problems | Watch Online | |
4-7 Optimization Problems 4-10 Antiderivatives | Watch Online | |
Chapter5 Integrals 5-1 Areas and Distances 5-2 The Definite Integral | Watch Online | |
5-2 The Definite Integral 5-3 The Fundamental Theorem of Calculus | Watch Online | |
5-4 Indefinite Integrals and the Total Change Theorem 5-5 The Substitution Rule | Watch Online | |
5-5 The Substitution Rule 5-6 The Logarithm Defined as an Integral Chapter6 Applications of Integration 6-1 Areas between Curves | Watch Online | |
6-1 Areas between Curves 6-2 Volumes | Watch Online | |
6-3 Volumes be Cylindrical Shells Chapter7 Techniques of Integration 7-1 Integration by Parts 7-2 Trigonometric Integrals | Watch Online | |
7-2 Trigonometric Integrals 7-3 Trigonometric Substitution | Watch Online | |
7-4 Integration of Rational Functions by Partial Fractions 7-8 Improper Integrals | Watch Online | |
7-8 Improper Integrals | Watch Online | |
7-7 Approximate Integration Chapter8 Further Applications of Integration 8-1 Arc Length | Watch Online | |
8-1 Arc Length 8-2 Area of a Surface of Revolution | Watch Online | |
Chapter10 Parametric Equations and Polar Coordinates 10-1 Curves Defined by Parametric Equations 10-2 Calculus with Parametric Curves | Watch Online | |
10-2 Calculus with Parametric Curves 10-3 Polar Coordinates 10-4 Areas and Lengths in Polar Coordinates | Watch Online | |
10-3 Polar Coordinates 10-4 Areas and Lengths in Polar Coordinates | Watch Online |