Notes from my 241 Honors Discussion sections (Fall 2021) can be found below in chronological order.  Also, here's the link  to the course webpage.


Week 14 Thursday Notes (12-02) (Topics Covered : Stokes Theorem and Applications) 

Week 14 Tuesday Notes (11-30) (Topics Covered : Surface Integrals and Divergence Theorem) 

Fall Break, 22-26th November.

Week 13 Thursday Notes (11-18) (Topics Covered : Surface Integrals, Discussions on Gradient, Divergence and Curl) 

Week 13 Tuesday Notes (11-16) (Topics Covered : Green's Theorem and Surface Area Computation) 

Week 12 Thursday Notes (11-11) (Topics Covered : Gradient, Curl, Divergence) (Notes by Prof. Hildebrand) 

Week 12 Tuesday Notes (11-09) (Topics Covered : Gradient and Line Integrals) 

Week 11 Thursday Notes (11-04) (Topics Covered : Jacobian Matrix and More Triple Integrals) 

Week 11 Tuesday Notes (11-02) (Topics Covered : Integration with Change of Variables) 

Week 10 Thursday Notes (10-28) (Topics Covered : More Problems on Triple Integrals) 

Week 10 Tuesday Notes (10-26) (Topics Covered : Triple Integrals, Computing Volume of a Sphere in different Co-ordinate systems) 

Week 9 Thursday Notes (10-21) (Topics Covered : More Problems on Double Integrals) 

Week 9 Tuesday Notes (10-19) (Topics Covered : Introduction to Double Integrals) 

Week 8 Thursday Notes (10-14) (Topics Covered : Lagrange Multipliers and it's Applications) 

Week 8 Tuesday Notes (10-12) (Topics Covered : Max/Min Conditions for 2 Variable functions, Least Square Optimization Problem) 

Week 7 Thursday Notes (10-07) (Topics Covered : Brief discussion on Derivative Matrices, Taylor's Theorem) 

Week 7 Tuesday Notes (10-05) (Topics Covered : Linearity Conditions, Multivariable Chain Rule, Angle of Climb) 

Week 6 Thursday Notes (09-30) (Topics Covered : Directional Derivatives, Max/Min Conditions, Tangent Planes to Level Surfaces) 

Week 6 Tuesday Notes (09-28) (Topics Covered : Chain Rule for Partial Derivatives, Implicit Differentiation) 

Week 5 Thursday Notes (09-23) (Topics Covered : Tangent Planes to a Surface and Linear Approximations, Calculating Differentials) 

Week 5 Tuesday Notes (09-21) (Topics Covered : Partial Derivatives and Clairaut's Theorem) 

Week 4 Thursday Notes (09-16) (Midterm 1 Review : Problems on Arc length, finding Tangent and Normal to a curve, speed and velocity of Curves)

Week 4 Tuesday Notes (09-14) (Topics Covered : Position, Velocity and Acceleration, Tangent-Normal-Binormal Frame, Normal and Osculating Planes)

Week 3 Thursday Notes (09-09) (Topics Covered : Cauchy Schwarz Inequality, Triangle Inequality, Length of Curves) 

Week 3 Tuesday Notes (09-07) (Topics Covered : Problems on Lines and Planes, Parallel and Perpendicular Planes, Distance between Planes)

Week 2 Thursday Notes (09-02) (Topics Covered : Scalar Triple Product and their Geometric significance, Equations of Lines and Planes) 

Week 2 Tuesday Notes (08-31) (Topics Covered : Dot Products, Cross Products and their Properties) 

Week 1 Thursday Notes (08-26) (Topics Covered : Parallel vectors, Perpendicular vectors and Dot Products) 

Week 1 Tuesday Notes ( 08-24) (Topics Covered : Distance functions, Geometrical proofs using Vector properties)