MATH 1421 Calculus II
  Spring 2026

 
Dr. Michael Prophet                     Office Hours: Tues 9:30-10:30am; Thurs 1-2pm
Office: WRT 320                                                 or by appointment 
Office Phone: 273-2104                                         
prophet@math.uni.edu 
www.math.uni.edu/~prophet/courses/Calculus2 


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Final Exam:  1:00 - 2:50 p.m.  Monday 11 May

Prerequisites:

Calculus I

Credit Hours: 4

Note: This course meets the Course Credit Hour Expectation outlined in the Course Catalog. Students should expect to work approximately 2 hours per week outside of class for every course credit hour

Text:

Calculus: Single Variable (eighth edition), Hughes-Hallet, et al.

Technology:

We will use (computer software) Maple this semester.

Course Organization:

Our coverage will be divided into four Categories:

1. Antiderivatives and Basic Integration Techniques (Chapters 6 and 7)

2. Applications of the Definite Integrals

3. Differential Equations (Chapter 11)

4. Series and Approximations (Chapters 9 and 10)

    There will be an exam covering each Category

Course Learning Outcomes:

           1. anti-differentiate products of functions by parts

           2. recognize and implement appropriate techniques to anti-differentiate products of
               trigonometric functions and decompose a rational integrand using partial fractions

           3. apply basic anti-differentiation techniques to selected problems arising
               in various fields such as physical modeling

           4. approximate definite integrals via numerical methods

           5.  interpret the concept of a series as the sum of a sequence, and use the sequence of
                partial sums to determine convergence of a series

           6. decide whether an infinite series converges using a variety of test

           7.  determine the Taylor series of the nth order and determine an upper bound on its
                remainder

           8. solve first and second order differential equations

Course Description: 

            Integration techniques, sequences and series, applications.

Homework:

There is a homework assignment for every section we cover. While it will not be collected, it is (obviously) very important that you work through all assigned homework problems. Homework problems will appear on our Quizzes and Exams. Solutions to all assigned problems will be available under our Assignments link.

Quizzes:

We will have between 4 and 8 in-class quizzes during the semester. The quizzes will reflect problems you have practiced in class and in the Homework.

Exams:

There will be 4 in-class exams, 100 points each. Our fourth exam will be on the date and time of our Final Exam. The exam questions will all be problems you will have before - either on homework, quizzes or class work. There are no make-up exams. You are expected to take each exam on the day it is given. A missed exam results in 0-point score.

Blackboard Disclaimer:

       During the semester we will use Blackboard to access the textbook and record grades. But otherwise it is a "third party" in terms of accomplishing the learning goals of this course. And Blackboard does not determine your grade. Your final grade is determined by the Grading Rubric described below and based on this rubric, you should be able to, throughout the semester, estimate your current grade without the use of Blackboard.

Grade Calculation:

The points for this course are distributed like this:

Quizzes	100 points
4 exams	400 points

I will assign final grades based on the higher of your two averages: Quizzes + Exams (500 points) and just Exams (400 points).

Grading Scale:

100%-90%	A
89%-80%	B
79%-70%	C
69%-50%	D

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