Assignments, MAT229

Day Date Activity Assignment (Please read ahead!)
Mon 1/13 Welcome/Introductions/Review Please read Keith Devlin's Letter to a calculus student, as well as Vol 1, Sec. 1.2: Basic Classes of Functions for tomorrow.

For homework, please try problems 63-66, 71-74 (write the equation in point-slope form, as well, which I generally prefer); 85, 86; 90, 92, 93; 103, 104. These types of problem will form the basis of the quiz for Thursday.

Tue1/14 Function Zoo Please read Vol 1, Sec 1.4: Inverse Functions for next time. Attempt problems 185-190, 195, 196, 203, 204, 218, 220, 221.
Thu1/16 Inverse functions For Tuesday (MLK, Jr. Holiday on Monday!): read Vol 1, Sec 3.7: Derivatives of Inverse functions, and attempt problems 260, 261, 279, 280, 283, 289, 290, 295, 296
Fri1/17 Lab 1 Intro to Mathematica; Plotting, defining functions. Here's another Mathematica file you might have a look at, to review the shapes of basic functions, and some of their properties.
Mon1/20 MLK Day  
Tue1/21 Derivatives of Inverse functions Please read Vol 1, Sec 3.9: Derivatives of exponential and logarithmic functions for next time, and attempt problems 333-337, 340, 341, 354, 359, 361, 363 (this should look familiar from our lab last time! We'll try it in Mathematica on Friday.).
Thu1/23 Derivatives of Exponential and Logarithmic Functions Please read Vol 1, 4.6: Limits at infinity and asymptotes, and attempt problems 261-270, 285, 286, 298, 299, 308, 309
Fri1/24 Lab 2 Derivatives and linear approximation. Please read Vol 1, 4.6: Limits at infinity and asymptotes, and attempt problems 261-270, 285, 286, 298, 299, 308, 309
Mon1/27 Limits at infinity and asymptotes Please read Vol 1, 4.8: L'Hopital's Rule for tomorrow, and attempt problems 356-359, 362, 363, 366, 378, 380, 386, 391, 396, 397, 400.
Tue1/28 L'Hopital's Rule Please review integration for next time: Vol 2, 1.1: Approximating Areas -- Vol 2, 1.3: The Fundamental Theorem of Calculus
Thu1/30 Basic Integration Please read Vol 2, Sec 3.1: Integration by Parts for next Monday. Attempt problems 1, 2, 4, 11, 13, 14, 22, 26, 48, 49, 53, 55, 57, and the problems in this worksheet
Fri1/31 Lab 3 Solving equations, tips and tricks
Mon2/3 Integration by Parts Please read Vol 2, Sec 3.2: Trigonometric Integrals for next time, and attempt problems in the worksheet.
Tue2/4 Trig integrals Vol 2, Sec 3.3: Trigonometric Substitution is our next topic; please read that, and attempt problems in the worksheet.
Thu2/6 Trig substitution
Fri2/7 Lab 4 Integration and application
Mon2/10 Continued  
Tue2/11 Review  
Thu2/13 Exam 1  
Fri2/14 Lab Exam 1 Please read Vol 2, Sec 3.6: Numerical Integration for next time.
Mon2/17 Numerical Integration From Vol 2, Sec 3.6: Numerical Integration, please try problems 306, 314-318, 322, 323, 333.
Tue2/18 Continued  
Thu2/20 Numerical error analysis  
Fri2/21 Lab 5 Numerical Integration
Mon2/24 Improper Integrals Please be sure you've read Vol 2, Sec 3.7: Improper Integrals, and try problems 348-350, 352-354, 357-359, 363-365, 372, 373, 406, 407.
Tue2/25 Continued Please read Vol 2, Sec 5.1: Sequences for next time.
Thu2/27 Continue working on your exercises from the Improper Integral section. For next time: Vol 2, Sec 5.1: Sequences
Fri2/28 Lab 6 Applied numerical integration with data
Mon3/3 Sequences Vol 2, Sec 5.2: Infinite Series
Tue3/4 Infinite Series
Thu3/6 Divergence and Convergence Tests
Fri3/7 Lab 7 Newton's method (Vol. 2, Sec. 4.9); Please read Vol 2, Sec 5.3: The Divergence and Integral Tests over the break; we'll start there on Monday. Try exercises #140-145, 152-155, 160-163, 170-171, 175-176, 190, 192
Mon3/10 Spring Break  
Tue3/11 Spring Break  
Thu3/13 Spring Break  
Fri3/14 Spring Break  
Mon3/17 Divergence and Integral Tests
Tue3/18 Review For Monday, please read Vol 2, Sec 5.4: Comparison Tests
Thu3/20 Exam 2  
Fri3/21 Lab 8 Sequences and Series
Mon3/24 Integral Test Please make sure that you've read both

for tomorrow.
Tue3/25 Comparison tests and Alternating Series
Thu3/27 Comparison and Alternating Series From Vol 2, Sec 5.4: Comparison Tests try problems 196-199, 205, 209-214, 219-220, 222, 236, 238, 241

Please read Vol 2, Sec 5.6: Ratio and Root Tests for next time.

Try problems 250-257, 276-279, 280-281, 301-304 from Vol 2, Sec 5.5: Alternating Series

Fri3/28 Lab 9 Approximating functions with polynomials
Mon3/31 Absolute convergence, Ratio and Root Tests Please read Vol 2, Sec 6.1: Power Series and Functions for next time. Try problems 317-323, 328-331, 338-341, 348-351.
Tue4/1 Power Series and Functions Please skim Vol 2, Sec 6.2: Properties of Power Series and read Vol 2, Sec 6.3: Taylor and Maclaurin Series for next time.
Thu4/3 Taylor Series Please read Vol 2, Sec 6.4: Working with Taylor Series for Monday. Tuesday we'll start on something completely different: Vol 2, Sec 7.1: Parametric Equations
Fri4/4 Lab 10 Power and Taylor Series
Mon4/7 Calculus of Parametric Curves Vol 2, Sec 7.2: Calculus of Parametric Curves
Tue4/8 Continued, and Polar Coordinates Vol 2, Sec 7.3: Polar Coordinates
Thu4/10 Area and Arc Length in Polar Coordinates Vol 2, Sec 7.4: Area and Arc Length in Polar Coordinates
Fri4/11 Lab (cancelled) Global Climate Strike (I'll be striking on campus).
Mon4/14 Vectors in the Plane Vol 3, Sec 2.1: Vectors in the Plane
Tue4/15 Review  
Thu4/17 Exam 3  
Fri4/18 Lab Exam 2  
Mon4/21 Vectors in Three Dimensions Vol 3, Sec 2.2: Vectors in Three Dimensions
Tue4/22 The Dot Product Vol 3, Sec 2.3: The Dot Product
Thu4/24 The Cross Product Vol 3, Sec 2.4: The Cross Product
Fri4/25 Lab 11 Three-Dimensional calculus
Mon4/28 Equations of Lines and Planes in Space Vol 3, Sec 2.5: Equations of Lines and Planes in Space
Tue4/29 Continued  
Thu5/1 Review  
Fri5/2 Review  
Mon5/5    
Tue5/6    
Wed5/7 Final, Part 1 (written) 12:20 p.m.
Thu5/8 Final, Part 2 (lab) 12:20 p.m.
Fri 5/9 Have a good summer!
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