Calculus Notes

Study guide for the second Midterm of MATH 233. Covers Lessons 13.1 - 14.2. Provides summaries of topics and step-by-steps on solving problems, particularly those seen on homework and in class. Contains content on vectors, dot product, cross product, planes in 3D, intersections of lines and planes, and much more.

The Instructor’s Solutions Manual for Calculus: Early Transcendentals, 3rd Edition by William L. Briggs, Lyle Cochran, Bernard Gillett, and Eric Schulz provides complete, step-by-step solutions to all problems in the textbook, including odd and even exercises, review problems, modeling applications, and conceptual challenges. Each solution includes intermediate steps, derivations, graphical interpretations, and commentary to clarify common errors and to support classroom instruction, exam prep...

Study guide for the second Midterm of MATH 233. Covers Lessons 14.3 - 16.1. Provides summaries of topics and step-by-steps on solving problems, particularly those seen on homework and in class. Contains content on double integration, level curves, graphing level curves, partial derivatives, the gradient, tangent lines and planes in 3D, linear approximation, and more.

The Instructor’s Solutions Manual for Calculus: Early Transcendentals, 3rd Edition by William L. Briggs, Lyle Cochran, Bernard Gillett, and Eric Schulz provides complete, step-by-step solutions to all problems in the textbook, including odd and even exercises, review problems, modeling applications, and conceptual challenges. Each solution includes intermediate steps, derivations, graphical interpretations, and commentary to clarify common errors and to support classroom instruction, exam prep...

Study guide for the second Midterm of MATH 233. Covers Lessons 13.1 - 14.2. Provides summaries of topics and step-by-steps on solving problems, particularly those seen on homework and in class. Contains content on vectors, dot product, cross product, planes in 3D, intersections of lines and planes, and much more.

Study guide for the second Midterm of MATH 233. Covers Lessons 14.3 - 16.1. Provides summaries of topics and step-by-steps on solving problems, particularly those seen on homework and in class. Contains content on double integration, level curves, graphing level curves, partial derivatives, the gradient, tangent lines and planes in 3D, linear approximation, and more.

A summary of differential calculus that is suitable for a student who is just starting calculus. This is an indispensable resource for any student who is planning on applying calculus to physical sciences, and this includes everything required to succeed in high school calculus. This document is not heavy on deep theory, but does have what I believe to be a thorough discussion on limits without turning into an epsilon-delta festival.