Section Course Information
Math F253X Calculus III Summer 2026 Course Syllabus.
This is a 4-credit asynchronous course. This means the course is offered through Canvas and has no set meeting times. For this course, you will be asked to work through the material by watching videos, practicing problems, and completing quizzes and assessments. While this is a self-paced course, there are due dates and completion deadlines that need to be met.
In this course, I will use a standards-based assessment format instead of the traditional percentage-based system you’ve seen before. This style of assessment will give you a clearer picture of the expectations in our course, how well you have mastered the course material, and how you can improve your understanding (and your grade!). Throughout the course, you will be given opportunities to further develop your skills, assess these skills, and relearn material to improve your understanding. We will have weekly quizzes, weekly activities, and an assessment about every two weeks. Every problem that you see on a quiz or assessment will be mapped to one of the course standards. In addition to these assignments, you will also be asked to complete reflective assignments and course surveys.
The key ideas of mastery-based learning are:
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You will either receive credit or need to reassess; There are no 0 grades unless you do not try;
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You will be given many opportunities to improve your understanding and your score;
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Non-mastery items are based on completion;
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Once you have attained a minimum grade you can only improve.
Instructor and Section Information.
Instructor: Dr. Latrice Bowman
Office: Chapman 301B
email: lnbowman@alaska.edu
phone: 907-474-5427 (you will find it easier to reach me through email)
Student Help Hours.
Hours are by appointment through Zoom. You can use Dr. Bowman’s Appointment Scheduler to set up an appointment.
Class Meetings.
This is an asynchronous online course so there are no class meeting times, however, you will need to set up times with your proctor to take assessments.
Course Description.
This course focuses on multivariable functions, how to think about them, visualize them, and use them to solve applications. Students will learn how to differentiate and integrate these functions. Several applications of derivatives and integrals of multivariable functions will also be discussed in this course. By the end of this course, students will develop an understanding of the core concepts in multivariable calculus and some of their uses. This means that students will:
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use correct mathematical notation in writing out solutions
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gain competency in the algebra and geometry of 3-dimensional space.
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apply calculus operations to curves in 2- and 3-dimensional space.
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become competent with partial differentiation and apply it to optimization problems.
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compute integrals of functions of several variables.
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gain exposure to Stokes’ Theorem and its cousins (Green’s Theorem, the Divergence Theorem).
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apply multivariable calculus to other fields.
To meet these course outcomes students will be specifically assessed on the following standards:
Student Learning Outcomes.
Habit Standards assessed throughout the entire semester
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CAL3-1 WP (written practice)
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CAL3-2 Communication
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CAL3-3 Reflections
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CAL3-4 Participation
Content Outcomes assessed within specific content modules (complete descriptions can be found in Canvas)
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FUN-1 Vector Operations and Applications
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FUN-2 Planes
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FUN-3 Surfaces
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FUN-4 Vector-valued Functions
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FUN-5 Functions in 2 variables
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DC-1 Partial Derivatives
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DC-2 Tangent Planes and Linear Approximations
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DC-3 Chain Rules for Partial Derivatives
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DC-4 Directional Derivatives and the Gradient
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DC-5 Maxima and Minima
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DC-6 Lagrange Multipliers
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IC-1 Double Integrals
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IC-2 Double Integrals in Polar Coordinates
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IC-3 Triple Integrals
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IC-4 Integrals for Calculation of Mass
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IC-5 Change of Variables
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APP-1 Vector Fields and Line Integrals
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APP-2 Green’s Theorem
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APP-3 Surface Integrals
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APP-4 Stokes’ Theorem and the Divergence Theorem
