MATH 2414 Calcullus II

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

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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/