Fall 2017
To do list
 Week 1
 Complete Homework set 0 which is posted on Blackboard. You must submit your solutions on Blackboard before the duedate. This set is due on September 14, 2017, 11:59:00 PM and will help you review important calc 1related concepts.
 After the lecture on Homework set 1 (subs), complete Homework on substitution. You are allowed two attempts and this set should be submitted on Blackboard by September 14, 2017, 1:53:00 PM EDT
 Week of 9/119/17
 Integration by Parts homework on Blackboard is due September 17, 2017, 11:59:00 PM EDT.
 Week of 10/3/17
 Solutions for homework on partial integration are posted on Blackboard. Make sure you review the solutions and compare answers with yours. It is important not to move on from a set of homework until you are satisfied with your own work.
 Homework on Improper integration is posted on Blackboard. It is due on October 9, 2017, 11:59:00 PM.
 Moving forward, we will be looking at areas between curves and we will learn how to compute volumes for solid of revolutions. Please go over the following notes, as you prepare for these concepts which are related to applications of integration.
Reviewing for Exam 1 (09/28)
This exam will cover basic integration rules (review from Calc 1), Integration by substitution, Integration by Parts, Trig Substitution and Partial Integration. Make sure that you are comfortable using the Fundamental Theorem of Calculus as introduced in Calc I. You should start preparing by reviewing all your class notes. One should go over every example done in class and also you should revisit every problem assigned on Blackboard (see details below). Furthermore, you should take advantage of the online video lectures made available by the University of Utah. This is an important resource and you should definitely use it. I will be available during my office hours to discuss and I encourage you to stop by.
 Homework set (solutions are posted on Blackboard after deadlines)
 Homework set 0 (review) – MATH162001F17
 Basic Integration: video 1 and video 2
 Homework on substitution – MATH162001F17
 Homework on Integration by Parts – MATH162001F17
 Homework on Trigonometric Substitution – MATH162001F17
 Homework on Partial fractions – MATH162001F17
 General strategies for integration
 Integralstomemorize
 Additional Practice Reviewing integration (work these problems out without looking at the solutions)
Handouts
 Syllabus Math 162 (Fall 17)
 Algebra_Cheat_Sheet
 Trig_Cheat_Sheet
 Calculus_Cheat_Sheet_Limits
 Calculus_Cheat_Sheet_Derivatives
 Outlines of lectures
 Solutions of Blackboard homework
Trig Review
Note: Download the files in order to watch the complete videos. Also, it is very important to watch the videos in the order in which they are listed below
 Lecture 1 Sine and Cosine via Unit Circle
 Lecture 2 Sine and Cosine of Special Angles
 Lecture 3 Sine and Cosine of Every Angle
 Lecture 4 Computing the Tangent
 Lecture 5 Solving Easy Equations of Sine and Cosine between 0 and 2π
 Lecture 6 Inverse of the Sine Function
 Lecture 7 Inverse of the Cosine Function
 Lecture 8 Main Trig Identities Youtube link
Homework for Trig Review
 Trig Review guide
 Set 0 Set 0 Solutions
Summer 2012
 Day 1
 Calendar
 Syllabus
 Integrals to memorize
 Mathematica project
 Exam I
 Exam II Exam II Solutions
 Exam III
 Gabriel’s horn
 Study guide test II
 quiz_1
 Quiz 2
 quiz_3
 quiz 06
 Quiz on Series
 Quiz on conic sections and sequences
Fall 2011
Projects
 Mathematica project 1
 Mathematica Project guide
 Project 2a Mathematica tutorial for project2a
 Project 2b
 Project2c
 Project 2d
 project 2e
Lecture Notes & Handouts 

Quizzes & Exams 
Worksheets
Some basis Mathematica commands
Integrate[x Sin[x], x]  Integrate symbolically 
Integrate[x y^2z,{x,0,2},{y,0,x},{z,0,y}]  3D Integral 
NIntegrate[Exp[x^2],{x,0,10}]  Integrate numerically 
D[ Cos^5[x],x ]  Differentiate symbolically 
Series[Exp[x],{x,0,3} ]  Taylor series 
DSolve[ x”[t]==x[t],x,t ]  Solution to ODE 
DSolve[{D[u[x,t],t]==D[u[x,t],x],u[x,0]==Sin[x]},u[x,t],{x,t}]  Solution to PDE 