# Math H1B : Honors single variable calculus, Fall 2015

This course has three parts - integration, sequences and series,
and ordinary differential equations. We will first introduce two basic
techniques of integration - substitution rule and integration by
parts, and then through various examples, we will systematically
develope these into formidable tools. Next, we will move on to
studying infinite sequences, and their summations. The aim is to
introduce Taylor series, which serves as an extension of the
idea of derivatives as first order (linear) approximation to the
function. Differential equations, that is equations involving an
unknown function and its derivatives, are ubiquitous in applications
of mathematics to "real world" problems. Any mathematical model of a
process involving rates of change can usually be formulated in terms
of a differential equation. In the last part of this course, we will
study some natural differential equations that arise in examples
ranging from population models, mixing problems to springs and
electric circuits, and use the techniques developed in the first two
parts of the course to solve such equations.

## Assignments

Assignment-1 (due 09/08/15)

Assignment-2 (due 09/15/15)

Assignment-3 (due 09/29/15)

Assignment-4 (due 10/06/15)

Assignment-5 (due 10/13/15)

Assignment-6 (due 10/20/15)

Assignment-7 (due 10/27/15)

Assignment-8 (due 11/10/15)

Assignment-9 (due 11/17/15)

Assignment-10 (due 11/24/15)

Assignment-11 (due 12/08/15)

## Announcements

Practice problems for first mid-term

Here is the first midterm and the solutions

Practice problems for the second mid-term

Here is the second midterm and the solutions

Practice problems for the final exam

Last modified: Tue Dec 1 06:43:20 PST 2015