这是一份UCSD的微积分网课代修Calculus I Math-40017案例，学生在我们的帮助下获得了满意的成绩。
Course Number: MATH-40017
Section ID: 167099
Quarter: Fall’22
Course Dates: 9/20-12/03/2022
Instructor Information
Name: Zika Perovic
Email: [email protected]
Communication Policy
You may contact me either by phone (858-822-9357) or by email during my office hours. Please communicate
with me early and often if you are experiencing challenges in completing course assignments on time.
IMPORTANT: Outside of office hours, I will answer your emails within 48 hours or less of receiving them.
Course Information
Course Description (Goals and Objectives)
The course is intended for engineering major students. Students should develop a conceptual understanding and
technical proficiency in the following topics:
• Review of Math Principles and College Algebra
• Functions, Limits, and Derivatives
• Differentiation
• Applications of Derivatives
• Logarithmic Functions
• Integration
Course Materials and Textbooks
Required Texts: Calculus by Larson and Edwards, 10-th edition, Houghton Mifflin, 2014.
ISBN: 978-1-285-05709-5.
Graphing calculator: TI-84 or lower.
Course Prerequisites:
Knowledge of College Algebra
Student Learning Outcomes
By the end of this course, students will be able to:
• Take first derivatives of single independent variable functions using the power, product, quotient, and
chain rules.
• Take second derivatives of single independent variable functions to assist in determining relative
maximum and minimum values and inflection points.
• Take partial derivatives of multiple independent variable functions.
• Use first and second derivatives to solve characteristics optimization and “Rate of Change” application
problems for single and multiple independent variable functions.
• Relate the process of anti-differentiation to the process of differentiation; take anti-derivatives of the
most common functions found in an applied environment.
• Relate anti-derivatives and indefinite integrals.
• Understand the fundamental theorem of calculus, and its implications for applied business problems.
• Relate the definite integral and applications problems requiring knowledge of the area under a curve and
how to find the area between two curves.
Course Schedule
Session Topic & Reading Assignments
w/due dates
1 P3 Review of Precalculus
1.2 Limits Numerically and Graphically
1.3 Limits Analytically
1.4 Continuous Functions
Please check the detailed
Schedule in Canvas
2 1.5 Infinite Limits
2.1 Definition of a Derivative
2.2 Instantaneous Rate of Change
3 2.3 Product and Quotient Rule
2.4 Chain rule
2.5 Implicit Differentiation
4 2.6 Related Rates
3.1 Extrema
3.2 Rolle’s Theorem
3.3 Monotonicity
Math-40017, Sec:167099, FALL’22, UC San Diego Extension
Page 3 of 4
5 3.4 Concavity
3.5 Infinite Limits
3.6 Graphing Functions
3.7 Applications of Extrema
6 3.8 Newton’s Method
MIDTERM EXAM
4.1 Indefinite Integrals
7 4.2 Area under the curve
4.3 Definite Integrals
4.4 Fundamental Theorem(s) of Calculus
4.5 Substitution
8 5.1 Logarithmic Function
5.2 Integration of Log Functions
5.3 Inverse Functions
5.4 Exponential Functions
5.5 Applications
9 5.6 Inverse Trig Functions
5.7 Inverse Trig Functions: Integration
7.1 Areas between two curves
10 7.2 Volumes of Rotational Solids
FINAL EXAM
Grading and Assignment Information
Letter grades are based on the UC San Diego Extension Grading Scale. Your final course grade is based on the percentage of points you have earned.
\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Passing Grades } \
\hline $\mathrm{A}+$ & $100 \%$ \
\hline $\mathrm{A}$ & $93-99 \%$ \
\hline $\mathrm{A}-$ & $90-92 \%$ \
\hline $\mathrm{B}+$ & $87-89 \%$ \
\hline $\mathrm{B}$ & $83-86 \%$ \
\hline $\mathrm{B}-$ & $80-82 \%$ \
\hline $\mathrm{C}+$ & $77-79 \%$ \
\hline $\mathrm{C}$ & $73-76 \%$ \
\hline $\mathrm{C}-$ & $70-72 \%$ \
\hline
\end{tabular}
\begin{tabular}{|c|l|}
\hline \multicolumn{2}{|c|}{ Non-Passing Grades } \
\hline $\mathrm{D}$ & $60-69 \%$ \
\hline $\mathrm{F}$ & $59 \%$ and below \
\hline
\end{tabular}
Weighted Grading Criteria
Discussion Board participation:
\begin{tabular}{ll}
Discussion Board participation: & $10 \%$ \
Midterm Test & $30 \%$ \
Quizzes & $25 \%$ \
Final (exam/project/assignment) & $35 \%$ \
\hline TOTAL & $100 \%$
\end{tabular}
