Difference between revisions of "Math 251-102 Fall 2022"

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'''Schedule.''' Mondays, Wednesdays, Fridays 9:50-11AM, Hodges 338
 
'''Schedule.''' Mondays, Wednesdays, Fridays 9:50-11AM, Hodges 338
  
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'''Office hours.''' Mondays 11:10AM-12:10PM, Wednesdays 2:30-3:30 PM, and by appointment on zoom: https://wvu.zoom.us/j/92855687691
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'''Office hours.''' Mondays 11:10AM-12:10PM and 5PM-6PM, Wednesdays 2:30-3:30 PM in Armstrong Hall 305B; and by appointment on zoom: https://wvu.zoom.us/j/92855687691
  
 
'''Textbook.''' Calculus: Early Transcendentals, 8th Edition, by James Stewart; we cover Chapters 12-16.
 
'''Textbook.''' Calculus: Early Transcendentals, 8th Edition, by James Stewart; we cover Chapters 12-16.
  
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'''Prerequisite.''' C or better in Math 156 is required;  
+
'''Prerequisite.''' C or better in Math 156 is required;
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=Evaluation=
 
=Evaluation=
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| Wed Aug 31 || Quadric surfaces || 12.6 ||
 
| Wed Aug 31 || Quadric surfaces || 12.6 ||
 
|-
 
|-
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| Fri Sep 2 || || || '''Quiz 1'''
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| Fri Sep 2 ||Quadric surfaces || 12.6 || [[Media:25122Q1Soln.png|'''Quiz 1''']]
 
|-
 
|-
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| Wed Sep 7 || || ||
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| Wed Sep 7 || Review || 12.1-12.6 ||
 
|-
 
|-
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| Fri Sep 9 || || ||
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| Fri Sep 9 || Vector functions and curves || 13.1 || [[Media:25122HW1.png|'''HW 1 due''']]
 
|-
 
|-
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| Mon Sep 12 || || ||
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| Mon Sep 12 || Derivatives and integrals || 13.2 ||
 
|-
 
|-
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| Wed Sep 14 || || ||
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| Wed Sep 14 || Arc length and curvature || 13.3 ||
 
|-
 
|-
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| Fri Sep 16 || || ||
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| Fri Sep 16 || Motion in space || 13.4 || [[Media:25122Q2Soln.png|'''Quiz 2''']]
 
|-
 
|-
 
| Mon Sep 19 ||  ||  ||
 
| Mon Sep 19 ||  ||  ||
 
|-
 
|-
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| Wed Sep 21 ||  ||  ||
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| Wed Sep 21 || Problem session ||  ||
 
|-
 
|-
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| Fri Sep 23 ||  ||  ||
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| Fri Sep 23 || Functions of multiple variables || 14.1 ||[[Media:25122HW2.png|'''HW 2 due''']]
 
|-
 
|-
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| Mon Sep 26 || ||  ||
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| Mon Sep 26 || Review ||  ||
 
|-
 
|-
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| Wed Sep 28 ||'''Midterm 1''' ||  ||
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| Wed Sep 28 ||'''Midterm 1''' ||  ||[[Media:25122MT1Soln.png|'''Midterm 1''']]
 
|-
 
|-
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| Fri Sep 30 ||  ||  ||
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| Fri Sep 30 || Functions of multiple variables || 14.1 ||
 
|-
 
|-
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| Mon Oct 3 || || ||
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| Mon Oct 3 || Limits and continuity || 14.2 ||
 
|-
 
|-
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| Wed Oct 5 || || ||
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| Wed Oct 5 || Partial derivatives || 14.3 ||
 
|-
 
|-
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| Fri Oct 7 || || ||
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| Mon Oct 10 || Tangent planes || 14.4 ||
 
|-
 
|-
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| Mon Oct 10 || || ||
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| Wed Oct 12 || Chain rule || 14.5 || [[Media:25122Q3Soln.png|'''Quiz 3''']]
 
|-
 
|-
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| Wed Oct 12 || || ||
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| Fri Oct 14 || Directional derivatives and gradients || 14.6 || [[Media:25122HW3.png|'''HW 3 due''']]
 
|-
 
|-
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| Fri Oct 14 || || ||
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| Mon Oct 17 || Directional derivatives and gradients || 14.6 ||
 
|-
 
|-
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| Mon Oct 17 || || ||
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| Wed Oct 19 || Maxima and minima || 14.7 ||
 
|-
 
|-
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| Wed Oct 19 || ||  ||
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| Fri Oct 21 || Lagrange multipliers ||14.8 || [[Media:25122Q4Soln.png|'''Quiz 4''']]
 
|-
 
|-
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| Fri Oct 21 || ||  ||
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| Mon Oct 24 || Problem session ||  ||
 
|-
 
|-
−
| Mon Oct 24 || || ||
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| Wed Oct 26 || Double integrals over rectangles || 15.1 ||
 
|-
 
|-
−
| Wed Oct 26 || || ||
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| Fri Oct 28 || Double integrals over general domains || 15.2 || [[Media:25122HW4.png|'''HW 4 due''']]
 
|-
 
|-
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| Fri Oct 28 || || ||
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| Mon Oct 31 || Polar coordinates || 15.3 ||
 
|-
 
|-
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| Mon Oct 31 || || ||
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| Wed Nov 2 || Polar coordinates || 15.3 ||
 
|-
 
|-
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| Wed Nov 2 || || ||
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| Fri Nov 4 || Surface area || 15.5 || [[Media:25122Q5Soln.png|'''Quiz 5''']]
 
|-
 
|-
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| Fri Nov 4 || ||  ||
+
| Mon Nov 7 || Review ||  ||
 
|-
 
|-
−
| Mon Nov 7 ||  || ||
+
| Wed Nov 9 ||'''Midterm 2'''||  ||[[Media:25122MT2Soln_part1.png|'''Midterm 2 (file 1)''']]<br> [[Media:25122MT2Soln_part2.png|'''Midterm 2 (file 2)''']]
 
|-
 
|-
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| Wed Nov 9 ||'''Midterm 2'''||  ||
+
| Fri Nov 11 || Triple integrals || 15.6 || [[Media:25122HW5.png|'''HW 5 due''']]
 
|-
 
|-
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| Fri Nov 11 || || ||
+
| Mon Nov 14 || Cylindrical coordinates || 15.7 ||
 
|-
 
|-
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| Mon Nov 14 || || ||
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| Wed Nov 16 || Spherical coordinates || 15.8 ||
 
|-
 
|-
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| Wed Nov 16 || || ||
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| Fri Nov 18 || Vector fields || 16.1 || [[Media:25122Q6Soln.png|'''Quiz 6''']]
 
|-
 
|-
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| Fri Nov 18 || || ||
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| Mon Nov 28 || Line integrals || 16.2 ||
 
|-
 
|-
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| Mon Nov 28 || || ||
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| Wed Nov 30 || Fundamental theorem for line integrals || 16.3 ||
 
|-
 
|-
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| Wed Nov 30 || || ||
+
| Fri Dec 2 || Green's theorem || 16.4 || [[Media:25122HW6.png|'''HW 6 due''']]
 
|-
 
|-
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| Fri Dec 2 || ||  ||
+
| Mon Dec 5 || Review ||  ||
 
|-
 
|-
−
| Mon Dec 5 || ||  ||
+
| Wed Dec 7 || Review ||  ||
 
|-
 
|-
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| Wed Dec 15 ||'''Final Exam'''  ||  || 11am-1pm<br /> Hodges 338
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| Mon Dec 12 ||'''Final Exam'''  ||  || 8-10pm<br /> Hodges 338
 
|}
 
|}
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=Useful links=
 
−
 
−
[https://www.maa.org/math-competitions American Mathematics Competitions (AMC)]
 
−
 
−
[https://www.mathcounts.org Mathcounts]
 
−
 
−
[https://artofproblemsolving.com/mathcounts_trainer AoPS Mathcounts trainer]
 
−
 
−
[https://sites.google.com/a/boe.mono.k12.wv.us/mcsmath/math-field-day WV Math Field Day]
 

Latest revision as of 13:24, 10 December 2022

Course info

Description. Vectors and three-dimensional analytic geometry; curves and surfaces; functions of several variables, calculus of several variables; partial derivatives; gradient and linearization; multiple integrals; volume and surface area.

Instructor. Casian Pantea https://math.wvu.edu/∼capantea/

Schedule. Mondays, Wednesdays, Fridays 9:50-11AM, Hodges 338

Office hours. Mondays 11:10AM-12:10PM and 5PM-6PM, Wednesdays 2:30-3:30 PM in Armstrong Hall 305B; and by appointment on zoom: https://wvu.zoom.us/j/92855687691

Textbook. Calculus: Early Transcendentals, 8th Edition, by James Stewart; we cover Chapters 12-16.

Prerequisite. C or better in Math 156 is required;

Evaluation

Grading scheme

  • 30% Final Exam
  • 2x20% Midterms
  • 20% Quizzes
  • 10% Homework

Letter grades will be assigned as follows

A >=90%
B 80-90%
C 70-80%
D 60-70%
F <60%

Schedule of topics

Date Topic Section Other
Wed Aug 17 3D coordinate system, vectors 12.1
Fri Aug 19 Vectors 12.2
Mon Aug 22 Dot product 12.3
Wed Aug 24 Cross product 12.4
Fri Aug 26 Lines and planes 12.5
Mon Aug 29 Problem session 12.1-12.5
Wed Aug 31 Quadric surfaces 12.6
Fri Sep 2 Quadric surfaces 12.6 Quiz 1
Wed Sep 7 Review 12.1-12.6
Fri Sep 9 Vector functions and curves 13.1 HW 1 due
Mon Sep 12 Derivatives and integrals 13.2
Wed Sep 14 Arc length and curvature 13.3
Fri Sep 16 Motion in space 13.4 Quiz 2
Mon Sep 19
Wed Sep 21 Problem session
Fri Sep 23 Functions of multiple variables 14.1 HW 2 due
Mon Sep 26 Review
Wed Sep 28 Midterm 1 Midterm 1
Fri Sep 30 Functions of multiple variables 14.1
Mon Oct 3 Limits and continuity 14.2
Wed Oct 5 Partial derivatives 14.3
Mon Oct 10 Tangent planes 14.4
Wed Oct 12 Chain rule 14.5 Quiz 3
Fri Oct 14 Directional derivatives and gradients 14.6 HW 3 due
Mon Oct 17 Directional derivatives and gradients 14.6
Wed Oct 19 Maxima and minima 14.7
Fri Oct 21 Lagrange multipliers 14.8 Quiz 4
Mon Oct 24 Problem session
Wed Oct 26 Double integrals over rectangles 15.1
Fri Oct 28 Double integrals over general domains 15.2 HW 4 due
Mon Oct 31 Polar coordinates 15.3
Wed Nov 2 Polar coordinates 15.3
Fri Nov 4 Surface area 15.5 Quiz 5
Mon Nov 7 Review
Wed Nov 9 Midterm 2 Midterm 2 (file 1)
Midterm 2 (file 2)
Fri Nov 11 Triple integrals 15.6 HW 5 due
Mon Nov 14 Cylindrical coordinates 15.7
Wed Nov 16 Spherical coordinates 15.8
Fri Nov 18 Vector fields 16.1 Quiz 6
Mon Nov 28 Line integrals 16.2
Wed Nov 30 Fundamental theorem for line integrals 16.3
Fri Dec 2 Green's theorem 16.4 HW 6 due
Mon Dec 5 Review
Wed Dec 7 Review
Mon Dec 12 Final Exam 8-10pm
Hodges 338
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