Term: 2018 Fall
Course: MAT 2414 Calculus II (4 credits)
Section: 03
Time: 11:30am -- 12:25pm MWF Classroom: Lucas 117
11:10am -- 12:05pm TR Classroom: Lucas 119
Office: 200F Lucas Building
Ext. 8540
Office Hours: 10:10am--11:00am MTWRF
or by appointment
Syllabus: Available in Blackboard
Announcements: --------------------------------------------------------------
WELCOME !
This site is constantly under construction.
Materials: --------------------------------------------------------------
R0. Calculus Early Transcendental Functions (6th Ed.) by R. Larson and B. Edwards
R1. Calculus Volume 2, by Gilbert Strang, et al. [AIM Approved Textbook]
R2. Calculus II, by Jerrold E. Marsden, and Alan J. Weinstein, [AIM Approved Textbook.]
R3. Vector Calculus, by Michael Corral, [AIM Approved Textbook]. (only 1rst chapter)
R4. Calculus, by Tom Apostol, Vol. 1
--------------- First Part of the Course: Integration Techniques and their Applications---------------
----------------------------Tentative Class Schedule up to Exam-1 [may change] -----------------------
Aug-27 Welcome & Review of Basic Integration Techniques
Aug-28 Review of Basic Integration Techniques- I-by-Substitution
Aug-29 Integration by Parts
Aug-30 Integration by Parts(Tab-Method)
Aug-31 Integration by Parts
Q-1 I-by-Sub & I-by-Parts
HW-1 I-by-Sub & I-by-Parts
Sep-3 Labor Day Holiday (no classes)
Sep-4 Trigonometric Integrals
Sep-5 Trigonometric Integrals
Sep-6 Trigonometric Substitution
Sep-7 Trigonometric Substitution
Q-2 Trig-Integrals and Trig Substitution
HW-2 Trig-Integrals and Trig Substitution
Sep-10 Partial Fractions
Sep-11 Partial Fractions & Brief on I-by-Tables
Sep-12 Indeterminate Forms and L'Hopital's Rule
Sep-13 Indeterminate Forms and L'Hopital's Rule & Improper Integrals
Sep-14 Improper Integrals
Q-3 Partial Fractions & Indeterminate Forms
HW-3 Partial Fractions & Indeterminate Forms
Sep-17 Area of a Region between two curves & The Disk Method (Slice Method)
Sep-18 The Disk Method (Slice Method)
Sep-19 The Disk Method (Slice Method) & The Shell Method
Sep-20 The Shell Method
Sep-21 Arc Length and Surfaces of Revolution
Q-4 Improper Integrals & The Disk Method & The Shell Method
HW-4 Improper Integrals & The Disk Method & The Shell Method
Sep-24 Arc Length and Surfaces of Revolution
Sep-25 Work, Moments, and Center of Mass
Sep-26 Work, Moments, and Center of Mass & Exam-1 Review
Sep-27 Exam-1 Review
Sep-28 Exam-1
---------------------- Second Part of the Course: Sequences and Series ----------------------
Chapters 5 & 6 of R1
----------------------------Tentative Class Schedule up to Exam-2 [may change] -----------------------
Oct-1 Sequences
Oct-2 Sequences
Oct-3 Infinite Series; Geometric Series; n-th term test for Divergence
Oct-4 Infinite Series; Geometric Series; n-th term test for Divergence
Oct-5 The Integral Test; p-Series
Q-5 Sequences & Infinite Series & n-th term test for Divergence
HW-5 Sequences & Infinite Series & n-th term test for Divergence
Oct-8 The Integral Test; p-Series; Comparison of Series
Oct-9 Comparison of Series
Oct-10 Alternating Series
Oct-11 Alternating Series; Absolute and Conditional Convergence
Q-6 The Integral Test; p-Series;
HW-6 The Integral Test; p-Series;
Oct-12 Absolute and Conditional Convergence; The Ratio and Root Test
Oct-15 The Ratio and Root Test; Taylor and Maclaurin Polynomials
Oct-16 Taylor and Maclaurin Polynomials
Oct-17 Power Series
Oct-18 Power Series
Oct-19 Representation of functions by Power Series
Q-7 Comparison of Series & Alternating Series & Absolute and Conditional Convergence
HW-7 Comparison of Series & Alternating Series & Absolute and Conditional Convergence
Oct-22 Taylor and Maclaurin Series
Oct-23 Taylor and Maclaurin Series
Oct-24 Exam-2 Review
Oct-25 Exam-2
Oct-26 Beginning of the 3rd Part of the Course
------- Third Part of the Course: Vector Calculus and the Geometry in Plane and Space -------
----------------------------Tentative Class Schedule up to Exam-3 [may change] -----------------------
Oct-29 Conics: Ellipses and Hyperbolas
Oct-30 Conics: Ellipses and Hyperbolas & Plane Curves and Parametric Equations
Oct-31 Plane Curves and Parametric Equations
Nov-1 Calculus of Parametric Equation
Nov-2 Calculus of Parametric Equation
Q-8 Ellipses, Hyperbolas, Plane Curves and Parametric Equations
HW-8 Ellipses, Hyperbolas, Plane Curves and Parametric Equations
Nov-5 Polar Coordinates and Polar Graphs
Nov-6 Polar Coordinates and Polar Graphs
Nov-7 Area and Arc Length in Polar Coordinates
Nov-8 Area and Arc Length in Polar Coordinates
Nov-9 Vectors in the Plane
Q-9 Polar Graphs, Area and Arc Length
HW-9 Polar Graphs, Area and Arc Length
Nov-12 Vectors in the Plane
Nov-13 Space Coordinates and Vectors in Space
Nov-14 Space Coordinates and Vectors in Space
Nov-15 Dot Product
Nov-16 Dot Product
Q-10 Vectors in the Plane and Dot Product
HW-10 Vectors in the Plane and Dot Product
Nov-19 Cross Product
Nov-20 Cross Product
Nov-21 Exercises in Dot Product and Cross Product
Nov-22 Thanksgiving Holiday (no classes)
Nov-23 Thanksgiving Holiday (no classes)
Nov-26 Lines and Planes in Space
Nov-27 Lines and Planes in Space
Nov-28 Exam-3 Review
Nov-29 Exam-3
Nov-30 Exam-3 Discussion
Dec-3 Final Exam Review
Dec-4 Final Exam Review
---------------------------------Exams----------------------------------
Exam-1: September-28-2018 Integration Techniques and Their Applications
Exam-2: October-25-2018 Sequences and Series
Exam-3: November-30-2018 Vector Calculus and the Geometry in Plane and Space
Final Exam: Wednesday December-5 2018 8am--10:30am
------------------------------Homeworks------------------------------
Do all. Turn in those only in red.
The student is responsible to perform all exercises.
Provide All steps. No work, no credit.
HW-1 [p. 103 of R1] 323,329,331,334,337,338,341,354,355,356,358,360,365
[p. 270 of R1] 2,3,5,7,10,12,20,21,22,33,36,51,52,53
HW-2 [p. 283 of R1] 73,75,76,80,81,83,85,87,89,99,100,101,103,105,107
[p. 296 of R1] 134,136,137,139,140,142,143,148,149,152,153
HW-3 [p. 308 of R1] 197,198,200,201,203,207,208,211,214,217,224
[p. 564 of R0] 11,12,13,14,15,16,18,19,21,23,33,34,35,47,50,51,55,57
HW-4 [p. 343 of R1] 347,348,350,351,352,356,357,362,363,364,388
[p. 150 of R1] 67,72,75,76,78,79,80,91,93,98,99,102,110,111
[p. 166 of R1] 120,121,123,130,131,132,133,135,141
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HW-5 [p. 447 of R1] 27,28,46,47,48,49,50,51,52,53
[p. 466 of R1] 75,76,77,89,90,101,103
[p. 482 of R1] 138,139,143,144,153,154,156
HW-6 [p. 482 of R1] 153,156,157,158,159,160,161,162,163,165,166
HW-7 [p. 493 of R1] 194,195,197,198,199,207,208,211,222
[p. 505 of R1] 250,253,254,255,257,265,271
------------------------------------------------------------------------------------------
HW-8 [p.692 of HW-8 attached] 10,12,14,25,27,28,37,38,39,40
[p.703 of HW-8 attached] 1,5,9,11,12,13,14,17,18,31,53,54,55,56
HW-9 [from Week-11 sheet] Do all, turn in only the following: 2p,2r,2w,4b,4j
HW-10 [from HW-10-Vectors.pdf attached]
p. 119 = 7,10,25,38
p. 142 = 76,77,83,86,93,98,110
p. 162 = 123,126,127,130,137,155,160,172
You may need to use a graphic device to get a better understanding
of the graphs. Consider to use: http://www.wolframalpha.com/