Course outcomes:
CO1: Ability to plot functions in software.
CO2: Understand to use maxima minima , mean value theorem maxima minima , mean value theorem, Graphing with derivatives ,definite integrals and Riemann Sums in software.
Co3: Understand to use Integration techniques ,Sequences and Series in. software.
CO4: Understand to use Conic Sections and Parametric Equations, Hyperbolic Functions in. software.
- Introduction to Sage / Mathematica, plotting functions.
- Limits, Squeeze Theorem, Intermediate Value Theorem.
- Derivatives, Graphing with Derivatives, Asymptotes.
- Mean Value Theorem, Maxima and Minima
- Riemann Sums, Definite and Indefinite Integrals, Fundamental Theorem of Calculus.
- Basic Integration Techniques, Substitution.
- Integration Techniques: Logarithmic Functions, Inverse Trigonometric Functions and Trigonometric Substitution, Partial Fractions.
- Arc length, Surfaces of Revolution.
- Volumes, Work, Differential Equations.
- Improper Integrals, Comparison test for Integrals.
- Conic Sections and Parametric Equations, Hyperbolic Functions.
- Sequences and Series.