Week 4: The Chain Rule, Implicit Differentiation and Rational Exponents
Course Material
- Week 1: Real Numbers and the Real Line, Coordinates, Lines, and Increments, Functions, Shifting Graphs, Trigonometric Functions
- Week 2: Limits, Continuity, Tangent Lines.
- Week 3: The Derivative of a Function, Differentiation Rules, Derivatives of Trigonometric Functions
- Week 4: The Chain Rule, Implicit Differentiation and Rational Exponents
- Week 5: Applications of Derivatives: Extreme Values of Functions, The First Derivative Test for Local Extreme Values
- Week 6: The Mean Value Theorem, Graphing with y‘ and y‘‘
- Week 7: Integration: Indefinite Integrals, Integration by Substitution
- Week 8: Estimating with Finite Sums, Riemann Sums
- Week 8: Definite Integrals, Substitution in Definite Integrals,
- Week 9: Mid Term Exam
- Week 10: Numerical Integration
- Week 11: Applications of Integrals: Areas between Curves, Finding Volumes
- Week 12: Lengths of Plan Curves, Areas of Surfaces of Revolution
- Week 13: Transcendental Functions: Inverse Functions and Their Derivatives
- Week 14: Natural Logarithms, The Exponential Function, a^x and log_a (x),
- Week 15: Inverse Trigonometric Functions, Derivatives of Inverse Trigonometric Functions; Integrals. Hyperbolic Functions.
- Week 16: Conic Sections, Parameterized Curves, and Polar Coordinates
- Week 17: Vectors and Analytic Geometry in Space
- Week 18: Final Term Exam
- Chapters 19
- Department CS & IT
- Teacher
Iqrar Ansari
