\( \newcommand{\sech}{\operatorname{sech}} \) \( \newcommand{\inverse}[1]{#1^\leftarrow} \) \( \newcommand{\<}{\langle} \) \( \newcommand{\>}{\rangle} \) \( \newcommand{\vect}{\mathbf} \) \( \newcommand{\veci}{\mathbf{\hat ı}} \) \( \newcommand{\vecj}{\mathbf{\hat ȷ}} \) \( \newcommand{\veck}{\mathbf{\hat k}} \) \( \newcommand{\curl}{\operatorname{curl}\,} \) \( \newcommand{\dv}{\operatorname{div}\,} \) \( \newcommand{\detThree}[9]{ \operatorname{det}\left( \begin{array}{c c c} #1 & #2 & #3 \\ #4 & #5 & #6 \\ #7 & #8 & #9 \end{array} \right) } \) \( \newcommand{\detTwo}[4]{ \operatorname{det}\left( \begin{array}{c c} #1 & #2 \\ #3 & #4 \end{array} \right) } \)

MA 227

Calculus III - 2017 Summer

Course Information

  • Semester: Summer 2017
  • Title: Calculus III
  • Section:
    • MA 227-103
  • Times:
    • Mon-Fri 3:00pm-4:15pm
  • Room:
    • HUMB 114
  • Office Hours
    • Mon-Fri 4:15-4:45pm
  • Instructor Information
  • Final Exam

Course Description

This course expands upon the concepts of limits, derivatives, and integrals introduced in Calculus 1 and 2. Students will investigate vectors and the geometry of n-dimensional Euclidean space, including vector functions and functions of several variables and various notions of limits, continuity, differentiation, and integration defined for such functions. The ultimate goal of the course is to be able to recognize and use various forms of the fundamental theorem of calculus as they appear throughout vector calculus.

Textbook and Resources

Lecture notes for this course will be available at no cost on the class website. Students are welcome to use University Calculus: Early Transcendentals (3rd Ed) or any other textbook as a supplemental resource (in particular, for optional homework), but it is not required.

Grade Assignments

The main goal of this course is for students to master the Core and Supporting Standards for the course. A list of these standards is available on the Standards page.

Grades are assigned based on students’ mastery of the Core and Supporting Standards. This is calculated by adding up to 2 earned marks for each of the twelve Core Standards, and up to 1 earned mark for each of the twelve Supporting Standards, for a total of 36 possible marks.

  • A:
    • At least 34/36 marks have been earned.
    • At least one mark has been earned for 12/12 Core Standards.
  • B:
    • At least 28/36 marks have been earned.
    • At least one mark has been earned for 10/12 Core Standards.
  • C:
    • At least 22/36 marks have been earned.
    • At least one mark has been earned for 8/12 Core Standards.
  • D:
    • At least 18/36 marks have been earned.

Mastering Standards

Course lectures will be dedicated to covering each standard and working examples. After each standard has been covered, it will be assessed on several Quizzes at the beginning of subsequent classes. Mastery of standards will also be assessed on the Midterm Exam and Final Exam.

Each exercise will be marked by the instructor as follows.

  • : The response demonstrates complete understanding of the Standard.
  • : The response may indicate complete understanding of the Standard, but clarification or minor corrections are required.
  • ×: The response does not demonstrate complete understanding of the Standard.

Students may improve marks to marks on quizzes or the midterm by correctly reworking the exercise on paper and submitting this new attempt to the instructor on the weekday following the date the marked exercise is returned. On the Final Exam, exercises may not be reworked, but up to four marks will be automatically converted to marks.

Student Data

Student data will be stored on the instructor’s office computer, and will be available via printed progress reports distributed during class at regular intervals.

Academic Honesty

Any violations of academic honesty will be reported to the University and will result in automatic and immediate failure of the course. Refer to South’s Additional Academic Course Policies for more information.


The official syllabus for this course is hosted on USAOnline. South’s Additional Academic Course Policies also apply to this course.