MATH-2415 Calculus III
Cynthia Vega-Hernandez
Credit Summer 2024
Section(s)
MATH-2415-001 (80941)
LEC TuTh 1:00pm - 3:40pm SAC SAC1 1203
MATH-2415-003 (80942)
LEC MW 12:20pm - 3:00pm DIL DLS DIL
Course Requirements
Grade Components
Major (Proctored) Exams: 85% (exams will be in class)
Major (Unproctored) Assignments: 7.5% ( tech/exploration projects/take-home test portions/applications/extension problems)
Minor Assignments: 7.5% (quick checks/in-class activities/warm-ups/discussion boards)
Grading Scale
A: 90 - 100
B: 80 – 89
C: 70 – 79
D: 60 – 69
F: < 60
What will we do in this class?
Tests: Unit tests will be given during class time. (85% category)
Homework: Practices are available in MyLabMath. These are for your own practice- not for a grade. Book problems are also suggested as an alternative to MLM.
Quick Checks/HW Quiz: Quick checks are like “mini-quizzes”- they are intended as short problem sets and are assigned for most sections. These are due according to the calendar-. These are intended to be short regularly completed assignments to check for understanding and help keep you caught up. They are (hopefully) not considered too lengthy, in an effort to give you manageable practice on a regular basis for grading and feedback. (7.5% minor unproctored category)
Group work: group work will be encouraged to discuss problems, quick checks, warm-ups, and projects
Projects/Explorations: Expect at least 1 project that will involve technology and/or exploration activities related to our topics. ( 7.5% major unproctored category)
Take-Home Test: At times, some topics may be on a take-home test portion that will count in the 7.5% major unproctored category. (these may or may not occur- depends on time, topics and test length)
What happens if I miss something?
Dropped Grade Policy: There will be 2 dropped grades in the minor category (quick checks)
Late Work Policy: Late work may be awarded up to 50% credit. Usually, once a key is posted, no late work is graded. Keys will be posted quite efficiently, usually within 24 hours of when the work was due. On a summer calendar, we go very fast and there isn’t time to delay on posting keys for checking/feedback. Please be timely on turning in work. Due to summer, there isn’t a consistent time (ex: every Friday)- due dates vary. Usually quick checks are due by the next class day but in some cases, work may be due the next day as an upload. Be sure to check the google sheet calendar.
Missed Exam Policy: There is no retest policy. With notice, it may be possible to test at the testing center, in the event you miss the test day. In the event of an emergency, notice must be given by 11am on testing day or advance notice if you are aware of a conflict. Tests are graded efficiently and make-up tests must be completed before graded exams are released. In the event of a low test grade or missed exam, the grade on the final can replace the lowest test grade with up to an 80. For instance, a final exam of 75 can replace the lower test grade with a 75 (only 1 test gets replaced). A final exam of more than an 80, will replace the lowest test grade with a maximum of an 80.
Attendance/Class Participation: Regular and punctual class and group attendance is expected of all students. If attendance or compliance with other course policies is unsatisfactory, the instructor may withdraw students from the class. Please be an active participant-
In the event the college or campus closes due to unforeseen circumstances (for example, severe weather or other emergency), the student is responsible for communicating with their professor during the closure and completing any assignments or other activities designated by their professor as a result of class sessions being missed.
Readings
Required Materials
This is a First Day™ class. The cost of required course materials, including an online version of the textbook and software access, has been added to your tuition and fees bill.
Textbook: Calculus: Early Transcendentals, 3rd Edition by Briggs, Cochran, Gillette, & Schulz. Pearson Publishing (MyLab software) ISBN: 9780134763644
Online Component: MyLab Homework will not be required for our course, but it is encouraged for your practice. Watching assigned videos or use of MLM for projects may be expected. Access to the software is included with the First Day version of the text. There are optional assignments- they are not graded and are provided for your own practice.
Calculator: You must have access to technology that enables you to (1) Graph a function, (2) Find the zeroes of a function. (3) Do numerical integration. Most ACC faculty are familiar with the TI family of graphing calculators. Hence, TI calculators are highly recommended for student use. Other calculator brands can also be used. Your instructor will determine the extent of calculator use in your class section. If you use Desmos, please be aware that the lock-down browser for testing will not allow you to simultaneously access Desmos during tests.
Other Technology: Access to a webcam and microphone are required for this course. Various websites will be used for plotting/other 3D models. Eligible students can check out required technology at https://www.austincc.edu/students/student-technology-services.
Course Subjects
GoogleSheet Calendar Smr2024 TTh
Note: Schedule changes may occur during the semester. Any changes will be announced in class, usually posted as a Blackboard Announcement and updated in the google sheet calendar (link above). See Google Sheet Calendar Link for specific test dates.
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Sections |
Material |
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13.1, 13.2 |
Vectors in the Plane, Vectors in Three Dimensions |
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13.3 |
Dot Products |
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13.4 |
Cross Products |
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13.5 |
Lines and Planes in Space |
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13.6 |
Cylinders and Quadric Surfaces |
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14.1, 14.2 |
Vector-Valued Functions, Calculus of Vector-Valued Functions |
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14.3 -14.5 |
Motion in Space, Length of Curves, Curvature and Normal Vectors |
|
15.1, 15.2 |
Graphs and Level Curves, Limits and Continuity |
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15.3 |
Partial Derivatives |
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15.4 |
Chain Rule |
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15.5 -15.6 |
Directional Derivatives and the Gradient, Tangent Planes and Linear Approximation |
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15.7 |
Maximum/Minimum Problems |
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15.8 |
Lagrange Multipliers |
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16.1 |
Double Integrals over Rectangular Region |
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16.2 |
Double Integrals over General Regions |
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16.3 |
Double Integrals in Polar Coordinates |
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16.4 |
Triple Integrals |
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16.5 |
Triple Integrals in Cylindrical and Spherical Coordinates |
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16.7 |
Change of Variables in Multiple Integrals |
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17.1 -17.3 |
Vector Fields, Line Integrals, Conservative Vector Fields |
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17.4, 17.5 |
Green’s Theorem, Divergence and Curl |
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17.6 |
Surface Integrals |
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17.7 |
Stokes’ Theorem |
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17.8 |
Divergence Theorem |
Student Learning Outcomes/Learning Objectives
Student Learning Outcomes
Upon successful completion of the course, a student should be able to:
- Demonstrate the ability to analyze and visualize curves, surfaces, and regions in 2 and 3 dimensions, in Cartesian, polar, cylindrical, and spherical coordinate systems.
- Perform calculus operations on vector‐valued functions including limits, derivatives, integrals, curvature, and the description of motion in space.
- Perform calculus operations on functions of several variables including limits, partial derivatives, directional derivatives, and multiple integrals.
- Find and classify extrema and tangent planes of functions of two variables.
- Apply some of the theorems of vector calculus, such as the Fundamental Theorem of Line Integrals, Green’s Theorem, the Divergence Theorem, and Stokes' Theorem, to simplify integration problems.
- Apply the computational and conceptual principles of calculus to the solutions of various scientific and business applications.
General Education Competencies
- Critical Thinking: gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO.
- Quantitative and Empirical Reasoning: applying mathematical, logical, and scientific principles and methods is covered in every SLO.
- Technology Skills: using appropriate technology to retrieve, manage, analyze, and present information is covered in SLOs # 1, 2, 3, 5, and 7.
- Written, Oral and Visual Communication: communicating effectively adapting to purpose, structure, audience and medium is covered in every SLO.
Office Hours
M W 3:00 PM - 4:15 PM DLS
NOTE SAC TTh 3:45-4:30 PM rm1134M T W Th 3:00 PM - 4:30 PM SAC & DLS
NOTE MW: 3-4:15 DLS-Zoom links in BB TTh 3:45-4:30 at SAC 1134Published: 05/30/2024 22:01:04