MTH 122 (Calculus II) Syllabus

Section 1: MW 9:30-10:45 and F 10:00-10:50 in Trumbower 149
Section 2: MW 2:00-3:15 and F 1:00-1:50 in Trumbower 140

Instructor Information:

• Instructor: Dr. Michael Allocca
  
• Office: Trumbower 110H
  • Student Hours: M W 12:30-1:20, F 11:00-11:50, or by appointment.
• Email: michaelallocca@muhlenberg.edu
  
• Phone: (484) 664-4088
  

Course Materials:

Required Textbook

Calculus: Volume II, available free for download at the Openstax website.

Other Materials:

In order to focus on deeper concepts instead of rote computation, we will use a TI-84 graphing calculator (or equivalent) on exams. The Trexler Library offers a free rental on a first come, first serve basis.

Course Information:

MTH 122 is a continuation of single variable calculus, and is the second course in the calculus trilogy. In this class, we will pick up where we left off at the end of differential calculus and turn our focus to integration, rounding out our study of single variable calculus. Specific topics focus on integration techniques, elementary differential equations, infinite sequences and series, Taylor and MacLauren series, and resulting applications. Our work will equip us with mathematical sophistication that serves as prerequisite to many intermediate level mathematics courses. Additionally, we will gain modeling and quantitative skills that are valued in many disciplines in the natural and social sciences.

Course Goals

By the end of this semester, we will be able to:

• Analytically and visually work with integrals.
  
• Employ advanced integration techniques.
  
• Display a firm understanding of the relationship between derivatives and integrals.
  
• Model estimation problems as definite integrals.
  
• Model elementary initial value problems.
  
• Explain the convergence or divergence of various sequences and series.
  
• Reason mathematically at a high level, understanding appropriate logical arguments.

Additionally, upon completion of this course, we will achieve the following departmental learning outcomes (I = introductory, D = Developing):

• Computational skills (D).
  
• Technological skills (I).
  
• Skills in mathematical communication: comprehension (I).
  
• Skills in mathematical communication: written (I).
  
• Skills in abstract mathematics: concept definition (I).
  
• Skills in applied mathematics: applications and modeling (I).

Course Unit Instruction

This class is scheduled to meet for 4 hours per week of classroom instruction and recitation.

Grading System

Throughout the semester, you will have ample opportunity to provide evidence of learning achievement through routine homework, well-spaced exams, and a cumulative final exam.

Homework

Homework will be assigned regularly throughout the semester through WeBWorK, an open source online assessment tool sponsored by the Mathematical Association of America. The goal of these assignments is to encourage everyone to work collaboratively and to remain current with the coursework. They are also designed to challenge everyone to synthesize material learned in class and solve problems of a higher difficulty level. I encourage you to work together on problems and use both each other and myself as resources. However each student will be submitting their own unique work (often coinciding with a unique set of randomized numbers) online. Everyone is expected to adhere to the standards of the Academic Integrity Code when working collaboratively. Technological aides such as Wolfram Alpha and Desmos are to be used sparingly. In the context of graded assignments, such use must only enhance the learning process, and never take the place of it.

Exams

This course will feature three in-class exams, along with a cumulative final exam that will be designed to assess each student’s level of achievement of the course goals. Makeups will only be permitted, at my discretion, if there is a legitimate excuse or illness, and it will be administered within a week of the scheduled exam day in order to provide timely feedback to the rest of the class. No retakes will be administered.

Grade Distribution

Your final grade is based on the following distribution:

Homework: 25%

Exam 1: 15%

Exam 2: 15%

Exam 3: 15%

Final Exam: 30%

Homework assignments make up a significant portion of your final grade, so do not fall behind or skip any of these. There are normally no make-ups available for missed assignments, so be sure to stay on top of all due dates. No extra credit or grading curve is offered in this class, however willing and meaningful class participation will be looked upon favorably when determining borderline grades.

Course grades will be assigned based on the following scale:

Grade Range	Letter Grade
97-100	A+
93-96.99	A
90-92.99	A-
87-89.99	B+
83-86.99	B
80-82.99	B-
77-79.99	C+
73-76.99	C
70-72.99	C-
60-69.99	D
<60	F

Course Policies and Procedures:

Attendance

Attendance is expected for every minute of scheduled class time. Absences on exam dates may only result from a legitimate excuse and must be accompanied by proper documentation (doctor’s note, college correspondence, etc.). In order to properly record attendance, a sign-in sheet will be passed around each day in class. If your unique signature is not on the sheet, you are marked absent. Being late to class disrupts our learning community, so three late arrivals will be equivalent to one absence. Any student who is not an active class participant for the full class period (doing other work in class, socializing, sleeping, leaving class, etc.) is recorded as absent. Use of mobile devices during class time is prohibited; if you must use your phone, please excuse yourself from the classroom. It is in your best interest to routinely attend class on time and be a willing and meaningful participant.

Any student with three or fewer absences (excused or unexcused) will be given the bonus of having their final exam grade replace their lowest test grade (if higher). Please note that the attendance bonus cannot hurt your grade! Students who are seldom absent are also looked upon favorably when determining final grades in borderline cases. No grading curve will be applied otherwise.

Expectations

What Do I Expect of You?

In order to promote a positive learning environment, we are all expected to be considerate each other. This means:

• Arriving to class on time, ready to engage in class the moment it begins. (In fact, feel free to come a few minutes early to chat with me and your classmates!)
• Silencing your cell phone.
• Actively listening to others’ contributions.
• Being courteous and respectful of each other.
• Being prepared to contribute to the class dialogue.
• Checking your email and Canvas announcements for course communication (but not in class :)).
• Using your Muhlenberg email address when reaching out to me.
• Making use of student hours when you need help, but not monopolizing that time.
• Adhering to the Academic Integrity Code when submitting any graded work.

What Should You Expect of Me?

Just as I expect you to work hard for me, you can also expect me to work very hard for you. Specifically, you should expect that:

• I will respond to your emails in a timely manner (typically within 24 business hours).
  
• My student hours will be a safe space in which we can work together through challenging concepts.
  
• This class is a top priority in my weekly schedule (because teaching IS the most important part of my job!).

Resources

Extra Help

The Academic Resource Center (ARC) offers individual and small-group tutoring, course-specific workshops, and academic coaching for all currently enrolled Muhlenberg students. You may request to be assigned to work on a weekly basis with a tutor for the duration of the semester. A link to the online tutor request form goes live on the first day of classes and can be found on the ARC website: https://www.muhlenberg.edu/academics/arc/. Questions regarding the ARC or any of their services, including academic coaching, may be directed to arcstudent@muhlenberg.edu.

Miscellaneous

Students with disabilities requesting classroom or course accommodations must complete a multi-faceted determination process through the Office of Disability Services (ODS) prior to the development and implementation of accommodations, auxiliary aids, and services. Accommodations are collaboratively developed between the student and the ODS staff during the determination process.

If you have not already done so, please complete the Semester Request within the Accommodate software management system located on the OneLogin page. After the requests are approved, students are encouraged to speak with each faculty member regarding the implementation of the accommodations for each course. In regards to testing accommodations, it may be appropriate for students to take their tests in the Testing Suite located in ODS. Limited space availability requires that testing appointments be made at least one week in advance of the testing date. Students are responsible for requesting testing appointments within Accommodate. The faculty member is responsible for providing proctoring instructions and the exam in advance of the testing appointment.

Please contact odsadmin@muhlenberg.edu with any questions or request an appointment through the Accommodate.

If you are experiencing financial hardship, have difficulty affording groceries or accessing sufficient food to eat every day or do not have a safe and stable place to live, and believe this may affect your performance in this course, I would urge you to contact our CARE Team through the Dean of Students Office for support. The webpage is: https://www.muhlenberg.edu/offices/deanst/careteam/. You may also discuss your concerns with me if you are comfortable doing so.

Tentative Course Schedule

The following is a tentative course schedule.

Week of:	Monday (75 mins)	Wednesday (75 mins)	Friday (50 mins)
8/25	Discuss syllabus	$\mathrm{\S }$ 1.5 u-Substitution	$\mathrm{\S }$ 3.1 Integration by parts
	Review		Integration exercises
9/1	$\mathrm{\S }$ 3.2 Trigonometric	$\mathrm{\S }$ 3.3 Trigonometric	$\mathrm{\S }$ 3.4 Partial fractions
	integrals	substitution
9/8	$\mathrm{\S }$ 3.5 Table of integrals	$\mathrm{\S }$ 3.6 Appx integration	More approximate
			integration
9/15	$\mathrm{\S }$ 3.7 Improper integrals	$\mathrm{\S }$ 2.1 Area between	$\mathrm{\S }$ 2.2 Volumes
		curves
9/22	$\mathrm{\S }$ 2.3 Solids of revolution	Exam 1	$\mathrm{\S }$ 2.4 Arc length
	Catch up
9/29	$\mathrm{\S }$ 2.5 Applications	More $\mathrm{\S }$ 2.5:	More $\mathrm{\S }$ 2.5: Probability
	work	hydrostatic force	$\mathrm{\S }$ 4.1 Modeling w/ diffeqs
10/6	More $\mathrm{\S }$ 4.1	More $\mathrm{\S }$ 4.2: Euler’s	NO CLASS
	$\mathrm{\S }$ 4.2 Direction fields	method
10/13	NO CLASS	$\mathrm{\S }$ 4.3 Separable	$\mathrm{\S }$ 4.3 More separable
		Equations
10/20	Exponential	$\mathrm{\S }$ 4.4 Logistic equation	$\mathrm{\S }$ 5.1 Sequences
	modeling	Catch up
10/27	Exam 2	$\mathrm{\S }$ 5.2 Series	$\mathrm{\S }$ 5.3 Integral test
		Geometric series
11/3	$\mathrm{\S }$ 5.4 Comparison tests	Catch up	$\mathrm{\S }$ 5.5
			Absolute convergence
11/10	$\mathrm{\S }$ 5.6 Ratio test	More $$6.1	$\mathrm{\S }$ 6.2 Representations of
	$\mathrm{\S }$ 6.1 Power series		functions by power series
11/17	More $\mathrm{\S }$ 6.2	$\mathrm{\S }$ 6.3/6.4 Taylor	More Taylor /
		and Maclaurin Series	Maclaurin series
11/24	Catch up	NO CLASS	NO CLASS
12/1	Error in Taylor appx	Exam 3	Review
	Binomial Series
12/8	FINALS	WEEK