Math 1320-009: Engineering Calculus II

Instructor: Yekaterina Epshteyn

Lectures: MTWF 8:35 - 9:25 am, WEB L110

Office Hours (tentative, it may be some changes)

MTWF 9:40am - 10:30am, or by appointment
Office: LCB 337
E-mail: epshteyn@math.utah.edu

TA: Gaoyang Fan

Labs: Th 7:30 - 8:20 am, JWB 208 and 8:35 - 9:25 am, LCB 323

TA Office Hours (tentative, it may be some changes)

M 11am - 12pm, Th 2:30pm - 3:30pm or by appointment
Office: WEB 1622
E-mail: gfan@math.utah.edu

Prerequisites: Prerequisites: "C" or better in MATH 1310 or AP Calc BC score of 3 or better or Department Consent.

Text

Calculus: Concepts and Contexts, Fourth Edition, by James Stewart, ISBN 9780495557425

The course

This course is 4 credits. The course is the second part of the Engineering Calculus and covers essential Calculus for Engineering applications. The course is structured into four lecture hours per week, and one lab hour per week (Thu). Topics covered include areas and volumes using integrals, arc length, curvature, average values of functions, basic differential equation models and methods, direction fields, Euler's Method, seperable differential equations, sequences, series, power series, Taylor and Maclaurin series, convergence tests, three dimensional coordinates and functions, vector functions, space curves, derivatives and integrals of vector functions, multivariable functions, limits and continuity in higher dimensions, partial derivatives, tangent planes, Lagrange Multipliers, and applications. (Chapters 6--11).

  • General Information 
  • Tentative Plan of Lectures 

    • Lab

    Each student will be enrolled in one of two Thursday lab sections.  Labs will provide opportunities for reviews, help on homework, team work, presentations, and projects.  Cumulative scores from the lab will count toward your final grade.

    Homework

    Problems will be assigned weekly, and listed below.  A random subset of problems from each assignment will be graded. Late homework cannot be accepted.  Students may consult one another and discuss homework problems, however the assignments you turn in must represent your own work.  Time and effort spent on homework is always reflected in exam scores.

    HW number
    		  Due date
    		  Homework assignment
    1
    		  Jan. 15
    		  Section 6.1:  1, 5, 6, 7, 15, 33.
     Section 6.2:  1, 2, 3, 5, 9, 10, 17, 31, 33, 35, 45.
    2
    		  Jan. 22
    		  Section 6.3:  5, 9, 10, 13, 31.
     Section 6.4:  9, 11, 27.
     Section 6.5:  1, 2, 3, 8, 12.
     Section 6.6:  3, 5.
    3
    		  Jan. 29
    		  Section 6.6:  27, 42, 45.
     Section 7.1:  2, 9, 10,11.
     Section 7.2:  3, 5, 23.
    4
    		  Feb. 5
    		  Section 7.3:  7, 10, 12, 19.
     Section 7.4: 3, 5, 13.
     Section 8.1: 3, 12, 25, 49.
    5
    		  Feb. 12
    		 Section 8.2:  7, 17, 21, 47, 53.
     Section 8.3: 1, 7, 13, 19, 41.

     Remember, Midterm Exam 1 will be given in your Lab on Thursday Feb. 18.
     Exam 1 will cover sections 6.1 through 8.2 inclusive (only sections that are covered in class).
     For a vague idea of what to expect, see Practice Midterm Exam 1, Spring 2016.
    6
    		  Feb. 19
    		 Section 8.4:  3, 5, 9, 13, 29, 35.
     Section 8.5:  7, 13.
    7
    		  Feb. 26
    		 Section 8.5:  23, 29(a), 29(b).
     Section 8.6:  9, 13, 21, 23.
     Section 8.7:  3, 5, 15.
    8
    		  March 4
    		 Section 8.7: 61, 65.
     Section 8.8:  13, 15, 29.
     Section 9.1:  3, 15, 33.
     Section 9.2:  3, 4.
    9
    		  March 11
    		 Section 9.2: 25, 39.
     Section 9.3: 25, 27, 31.
     Section 9.4: 3, 7, 9, 21, 23, 27.
    10
    		  March 25
    		 Section 9.5: 3, 5, 7, 27, 39, 55.
     Section 9.6:  7, 19, 22, 23

     Remember, Midterm Exam 2 will be given in your Lab on Thursday March 31.
     Exam 2 will cover sections 8.3 through 9.5 (equations of lines) inclusive (only sections that are covered in class).
     For a vague idea of what to expect, see Practice Midterm Exam 2, Spring 2016.
    11
    		  April 1
    		 Section 9.7: 15, 17, 21.
     Section 10.1: 1, 3, 25.
     Section 10.2: 5, 17, 21, 33.
    12
    		  April 8
    		 Section 10.3: 3, 13, 25, 29.
     Section 10.4:  7, 13, 17, 19.
     Section 10.5:  3, 14, 15.
    13
    		  April 15
    		 Section 11.1: 2, 11, 29.
     Section 11.2: 1, 5, 7, 13, 29.
     Section 11.3: 17, 45, 78, 80.
    14
    		  April 22 (Last HW)
    		 Section 11.4: 2, 3, 11, 13, 15, 29, 37.

     Remember, Final Exam will be given in April 29.
     Final Exam will cover sections 7.1 through 11.3 inclusive (only sections that are covered in class).
     For a vague idea of what to expect, see Practice Final Exam , Spring 2016.

    Reading and lectures:  Prior to class meetings, students are expected to read, and to be prepared to discuss, course material in the text.

    Note: the weekly schedule is subject to change during the semester depending on the lectures progress. Updated topics and assignments will be posted on class website. Students are responsible for checking it regularly.

    Exams: Dates are fixed.  Please plan your schedule around these dates now. A practice exam will be posted a week prior to the midterm/final that will cover the same material. Review of the practice exam will occur both in lecture and in the lab section.

    ADA Statement

    The Americans with Disabilities Act requires that reasonable accommodations be provided for students with physical, sensory, cognitive, systemic, learning and psychiatric disabilities. Please contact me at the beginning of the semester to discuss any such accommodations for the course.

    Grading

    Your grade will be determined by your scores on the midterm exams (30%), the final exam (25%), lab score (15%), quizzes (5%), and homework assignments (25%)
     

    Copyright notice

    All printed and electronic materials provided to you in this course are protected by copyright laws  

    Last Modified January 2016