Math 2153 resources | Reeve Garrett's personal u.osu.edu webpage

Syllabi and Calendar:

Course Notes:

Reference handout for 12.1-12.3 (Vectors in 2D and 3D, Dot Products, and their Applications).

Reference handout for 12.4-12.6 (Cross Products, Vector-valued Functions, and their Calculus).

Reference handout for 12.7-12.9 (Motion in Space, Lengths of Curves, and Basic Differential Geometry of Curves).

Reference handout for 13.1-13.3 (Functions in Several Variables, Planes, Surfaces, Limits, and Continuity).

Reference handout for 13.4-13.6 (Partial Derivatives, Differentiability, The Chain Rule for Multivariable Calculus, Directional Derivatives, and the Gradient).

Reference handout for 13.7 and 13.8 (Tangent planes, Linear Approximation, Local and Global Extrema)

Reference handout for 13.9 and 14.1 (Lagrange Multipliers and Double Integrals Over Rectangular Regions)

Reference handout for 14.2 and 14.3 (Double Integrals Over General Regions and in Polar Coordinates)

Reference handout for 14.4-14.6 (Triple Integrals, Cylindrical and Spherical Coordinates, and Mass Calculations)

Reference handout for 14.7, 15.1, and 15.2 (Change of Variables, Vector Fields, and Line Integrals)

Reference handout for 15.3 and 15.4 (Fundamental Theorem of Calculus for Line Integrals and Green’s Theorem)

Reference handout for 15.5-15.8 (Curl, Divergence, Parametrizing Surfaces, Surface Integrals, Stokes’ Theorem, and the Divergence Theorem).

Change of variables advice from the textbook

Additional solutions:

Additional 13-8 solutions

Additional 15-2 solutions

Circulation and flux handout

Midterm 1 answers

Midterm 2 answers

Take-Home Quizzes: