Teaching Guide 2022 summer - 11802 Calculus II Face-to-face Mode - Universidad Católica San Antonio de Murcia - Tlf: (+34) 968 278 160 ...
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Calculus II
Teaching Guide 2022 summer
11802 Calculus II
Face-to-face Mode
Universidad Católica San Antonio de Murcia – Tlf: (+34) 968 278 160 info@ucam.edu– www.ucam.edu
Mathematics- Tlf: (+34) 902 102 101Calculus II
11802 Calculus II
Course Information
Module: Calculus II
Field: Mathematics
Character: Introductory Training
Credits: 4
Course Instructor Information
Teacher: TBA
Online hours: 55 hours
Student’s attention timetable: Monday to Friday, 10h - 12h
Module coordinator teacher: To be assigned
Brief Description
This course makes a further introduction to calculus following the
course 11801 Calculus I. Topics covered include areas between
curves, trigonometric substitutions, integration, differential
equations, polar coordinates and so on. Students will continue
studying the differential and integral calculus for functions of a
single variable which emphasizes techniques and applications as
well as major theorems.
Previous Requisite(s)
11801 Calculus I
Mathematics- Tlf: (+34) 902 102 101Calculus II
Competences and Learning Results
1. Cross Curricular Competences:
(1) Analysis and synthesis skills;
(2) Planning and organizational skills;
(3) Problem solving skills;
(4) Decision making skills;
(5) Information management skills;
(6) Computer science knowledge related to the field of study;
(7) Capacity for critical thinking;
(8) Autonomous learning;
(9) Motivation for quality;
(10) Reflection ability;
2. Learning Results:
Having successfully completed this course, students will be able to:
1. Solve problems involving the maximization or minimization of a
quantity;
2. Compute and interpret average rate of change and instantaneous
rate of change for functions;
3. Interpret the derivative of a function graphically, numerically
and analytically;
4. Communicate mathematics effectively, with proper notation and
terminology.
Mathematics- Tlf: (+34) 902 102 101Calculus II
3. Specific Competences
1. Competence in finding both derivatives and integrals of
logarithmic and exponential functions and in applying these
concepts to applied problems;
2. Competence in evaluating improper integrals;
3. Competence in modeling with differential equations;
4. Competence in examining curves in the plane expressed
parametrically or in polar coordinates.
Methodology
Hours of work Hours of work
Methodology Hours
Face-to-face Non Face-to-
face
Lectures 50
88 hours (60%)
Practice teaching 8
Assessment 30
Personal study 30
68 hours (40%)
Tasks 22
Practical teaching 10
preparation
Bibliographic search 6
TOTAL 156 88 68
Mathematics- Tlf: (+34) 902 102 101Calculus II
Required Textbook
James Stewart. 2014. Single Variable Calculus: Early Transcendentals, 8th
Edition. Cengage Learning.
Contents
Week Lesson Content
1 1 Course Introduction and Overview;
Areas Between Curves
2 Volumes;
Volumes by Cylindrical Shells
3 Work;
Average Value of a Function
4 Integration by Parts
Quiz 1
5 Trigonometric Integrals;
Trigonometric Substitution
2 6 Integration by partial fractions
7 Strategy for Integration
8 Approximate Integration
Assignment 1 due
9 Approximate Integration (Cont.)
10 Improper integrals and Parametric
representation of curves
3 11 Improper integrals and Parametric
representation of curves (Cont.)
12 Midterm Test Reviews
13 Midterm Test
14 Arc Length;
Arc Length Function;
15 Area of a Surface ofRevolution
4 16 Modeling with Differential Equations
Mathematics- Tlf: (+34) 902 102 101Calculus II
17 Modeling with Differential Equations (Cont.)
Quiz 2
18 Direction Fields and Euler’s Method
19 Separable Equations
20 Separable Equations (Cont.)
5 21 Curves Defined by Parametric Equations
Assignment 2 due
22 Calculus with Parametric Curves
23 Polar Coordinates
24 Final Exam Reviews
25 Final Exam
Rating System:
1. Assessment
ASSESSMENT ITEM PERCENT OF FINAL GRADE
2 Assignments 20% (10% for each)
2 Quizzes 20% (10% for each)
Midterm Test 25%
Final Exam 35%
2. Grading Scale
A+ 96- 100 A 90-95 A- 85-89
B+ 82-84 B 78-81 B- 75-77
C+ 71-74 C 66-70 C- 62-65
D 60-61 F < 60
Mathematics- Tlf: (+34) 902 102 101Calculus II
General Expectations:
Students are expected to:
Attend all classes and be responsible for all materials covered in class and
otherwise assigned;
Complete the daily required reading and assignments before class;
Review the previous class notes before class and make notes about questions you
have about the previous class or the course reading;
Participate in class discussions and complete required written work on time;
Refrain from texting, phoning or engaging in computer activities unrelated to class
during the class period;
While class participation is welcome, even required, you are expected to refrain
from private conversations during the class period.
Attending Policy
Regular and prompt attendance is required. Attendance will be taken at the start of the
course. Those that miss their name, during roll call, will be counted as absent.
Students can miss up to three classes (including labs) and earn 7% (out of 10%). After
the third absence, students will earn a grade of 0% (out of 10%). Arriving late and/or
leaving before the end of the class are equivalent to absences.
Policy on “Late Withdrawals”
In accordance with the policy ofUCAM, appeals for late withdrawal will be approved
ONLY in case of medical emergency and similar crises.
Mathematics- Tlf: (+34) 902 102 101Calculus II
Academic Honesty
All students are expected to respect academic honesty policy. Instructors will fail
assignments that show any evidence of plagiarism or other forms of cheating and will
also report the student's information to the University Administration Office. A
student reported to the University for cheating will be placed on the list of disciplinary
probation; a student reported twice will be suspended or expelled.
Special Needs or Assistance
Please contact the University Administrative Office immediately if you have a
learning disability, a medical issue, or any other type of problem that prevents
professors from seeing you have learned the course material.
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