MATH 163 E Calculus II for Engineers
Syllabus
Instructor:
Instructor Email:
Office:
Office Hours:
Course Location and Time:
Course Length: 4 credit hours
Prerequisite: Math 162
Required Textbook:
Supplementary requirements: Scientific calculator, computer, and internet access.
Course Description: Calculus II for Engineers continues the study of Calculus I and its applications to inverse functions, logarithmic, exponential, inverse trigonometric and hyperbolic functions. Techniques of integration (integration by parts, trigonometric substitution, and partial fractions) will be discussed. Areas, volumes, centroids and arc lengths will be computed using integrals. Sequences, series, series tests, power and Taylor series will be covered.
Extra homework assignments that require deeper understanding of calculus concepts and their applications will be given.
MATH 163 E meets the following College Wide Goals.
A. Communication:
· Students will solve problems and present their solutions to the class.
B. Critical thought:
· Students are required to analyze and synthesize information and draw reasoned conclusions.
· Students will analyze and solve real world problems (e.g. exponential growth and decay problems, area and volume problems).
C. Cultural Competence:
· Students will learn about historical aspect of Calculus.
D. Information Competency and Research:
· Students will do online practice problems and homework assignments through WebAssign.
· Students will use Blackboard to access lecture notes and supplementary material.
Student Learning Outcomes: At the end of this course the student will be able to:
1. Compute derivatives and integrals for logarithmic and exponential functions.
2. Compute derivatives and integrals for the inverse trigonometric functions.
3. Model real-world problems (e.g. growth and decay) using differential equations.
4. Use separation of variables to solve differential equations.
5. Compute area of the region between curves.
6. Compute volumes using the disk method and shell method
7. Integrate more complicated functions using standard methods of integration, including integration by parts, trigonometric substitutions, partial fractions, etc.
8. Define an improper integrals
9. Determine convergence or divergence of sequences and series.
Course Requirements: (These are examples and may change depending on the instructor)
1. Attendance, In-Class Participation & Quizzes: Students are expected to attend all class sessions and are responsible for material missed during any absence. Occasionally, short quizzes will be given at the end of class. The objective of the quizzes is to test students' understanding of the material covered in class and to prepare them for exams.
2. Email & Blackboard: Students are expected to check their NNMC email and the course Blackboard page regularly. Lecture notes, as well as some extra material and all the important announcements will be posted on the Blackboard.
3. Homework: Completing the homework is essential to understanding and mastering the course material. Late homework earns no credit unless caused by extenuating circumstances as determined by the instructor. Online homework will be assigned through WebAssign. To activate and access your WebAssign account, go to http://www.webassign.net/ You will need the following class key to enroll into our class section and access the online homework: nnmc xxxx xxxx.
4. For every section we cover, there is a corresponding assignment on WebAssign. Tentative due dates are listed in the table below. A student who registers late for the class is responsible to inform the instructor and to complete past assignments as soon as possible.
5. Exams: There will be three in-class exams and a comprehensive final exam. The exams are closed-book, closed-notes. Should there be need for any formulas in order to solve exam problems, they will be provided by the instructor. The exam dates and topics will be announced at least one week in advance. Tentative exam dates are listed in the table below.
6. Evaluation: Grades will be determined according to the weighting scheme:
Three Exams: 45 %
Attendance and Quizzes: 15 %
Homework and Project: 15 %
Final Exam: 25 %
Course Grading Scale: The following grading scale will be used to determine final letter grades:
A+ = 99 –100%
A = 93 –98%
A- = 90 – 92%
B+ = 88 – 89%
B = 83 – 87%
B- = 80 – 82%
C+ = 78 – 79%
C = 70 – 77%
C- = 68 – 69%
D+ = 66 – 67%
D = 63 – 65%
D- = 60 – 62%
F = 0 – 59%
Important note: Grades of C- and below do not count toward graduation and do not meet the criteria for satisfying prerequisites.
Study Assistance:
Northern New Mexico College provides tutors at the Student Success Center and the Math Center. Tutors are available to answer questions and to assist students, but they do not complete students’ homework.
Students with Disabilities:
Northern New Mexico College recognizes its responsibility for creating an institutional climate in which students with disabilities can succeed. In accordance with Section 504 of the Rehabilitation Act and the Americans with Disabilities Act; if you have a documented disability, you may request accommodations to obtain equal access and to promote your learning in this class. Please contact the Verna Trujillo, Coordinator of Accessibility and Resource Center at 505-747-2152 or to inquire about appropriate accommodations. After your eligibility is determined, you will be given a letter, which when presented to instructors, will help us know best how to assist you.
Student Code of Conduct and Academic Dishonesty Policy:
Students in this course and in all college classes are expected to complete their course work in accordance to our College policies. Academic dishonesty on the part of a student including cheating on a test, plagiarism or falsification will be subject to academic sanctions. For more information about academic dishonesty and how such incidents will be handled by your instructor and by the College, please refer to Northern’s student handbook.
Tentative timetable (Actual dates will change depending on the semester and the instructor)
Week / Dates / Sections covered / Topics1 / 01/17* / 5.1 / Review of Calculus I topics:
Limits, Differentiation, and Integration
The Natural Logarithmic Function: Differentiation
2 / 01/23 / 5.2
5.3 / The Natural Logarithmic Function: Integration
Inverse Functions
3 / 01/30 / 5.4
5.5 / Exponential Functions: Differentiation & Integration
Bases Other than e and Applications
4 / 02/06 / Review
Exam I / Review for Exam I
EXAM I
5 / 02/13 / 5.6
5.7 / Inverse Trigonometric Functions: Differentiation
Inverse Trigonometric Functions: Integration
6 / 02/20 / 6.1
6.2
6.3 / Slope Field and Euler’s Method
Differential Equations: Growth & Decay
Separation of Variables and the Logistic Equation
7 / 02/27 / 6.4
7.1
7.2 / First-Order Linear Differential Equations
Area of a Region Between Two Curves
Volume: The Disc Method
8 / 03/06 / 7.3
Review
Exam II / Volume: The Shell Method
Review for Exam II
EXAM II
03/13 / Spring Break
9 / 03/20 / 7.4
7.5 / Arc Length and Surfaces of Revolution
Work
10 / 03/27 / 8.1
8.2
8.3 / Basic Integration Rules (review)
Integration by Parts
Trigonometric Integrals
11 / 04/03 / 8.4
8.5
8.7 / Trigonometric Substitution
Partial Fractions
Indeterminate Forms and L’Hospital’s rule (review)
12 / 04/10 / 8.8
9.1 / Improper Integrals
Sequences
13 / 04/17 / Review
Exam III / Review for Exam III
EXAM III
14 / 04/24 / 9.2
9.3
9.4 / Series and Convergence
The Integral Test and p-Series
Comparison of Series
15 / 05/01 / Review / Review for Final Exam
* 01/16 Martin Luther King Jr. Holiday – College closed