Evaluation #65139
Details
903875518
elopez83@gatech.edu
Student
xc4
PO Box 12383, San Juan, PR 00907
United States
[ 151537 ]
Integral Calculus
Summer 2024
(Semester Basis)
5 credit hours
MATH 1XXX, 1 credit hours
Policy
MATH 1XXX, 1 credit hours
Policy
Notes
2024-08-19 13:17:55 - Ema Sofia Lopez <elopez83>
Have you received the official transcript?
2024-08-18 08:51:46 - Ema Sofia Lopez <elopez83>
Please process my official transcript so I can register for math 2551
2024-08-15 12:38:03 - Ema Sofia Lopez <elopez83>
The official transcript has been sent to GT
2024-08-11 10:00:17 - Crystal Canady Elster <celster3>
GT has not received the official transcript. Please send documents so course credit can be awarded.
2024-08-05 11:30:02 - Ema Sofia Lopez <elopez83>
MAT 202 - Calculus II SYLLABUS TITLE: Calculus II CODE: MAT 202 PREREQUISITE: MAT 201 CREDITS: 5 credits | 75 contact hours | 1 term DESCRIPTION: This course is both theoretical and practical, focusing on the knowledge and application of integral calculus. It covers solving problems related to volumes of solids of revolution, surface areas, and arc lengths through integrals. Various integration techniques are taught, as well as solving problems involving indeterminate forms and improper integrals. The course introduces sequences and series, vectors, and functions of several variables through partial derivatives and multiple integrals. It applies different mathematical models to various scientific and social knowledge areas. The course is delivered face-to-face, with support from WEB 2.0 applications and USC’s distance education system. JUSTIFICATION: The skills developed in this course are essential for the efficient performance of tasks by scientists, whether they are mathematicians, chemists, physicists, or biologists. Although mainly designed for Natural Sciences students, in recent years, the use of Calculus has been adapted to many areas of Social Sciences and Business Administration in line with modern technology demands. COMPETENCIES: The course develops the following competencies in students: • Critical questioning • Communication OBJECTIVES: By the end of the course, students will be able to: 1. Demonstrate skills in solving integrals by discerning problem characteristics. 2. Apply knowledge and skills to defined integrals. 3. Apply knowledge and skills to derivatives and integrals of transcendental functions and functions of several variables. 4. Exhibit critical thinking by classifying exercises involving integrals, sequences, series, and vectors to apply different solving techniques. 5. Solve problems using special WEB 2.0 applications for mathematics. CONTENT: I. Applications of the Definite Integral A. Volumes of solids of revolution 1. Disk method 2. Washer method 3. Cylindrical shells method B. Surface area and logarithmic surface C. Arc length and surfaces of solids of revolution D. Work problems E. Liquid pressure and force problems II. Exponential and Logarithmic Functions A. Derivative of the inverse function B. Derivatives and integrals of Natural Logarithm and Exponential functions C. Derivatives and integrals of General Logarithmic and Exponential functions III. Trigonometric Functions and Their Inverses A. Trigonometric functions 1. Derivatives 2. Integrals B. Inverses of trigonometric functions 1. Derivatives 2. Integrals IV. Hyperbolic Functions and Their Inverses A. Derivatives and integrals of hyperbolic functions B. Derivatives and integrals of inverse hyperbolic functions C. Indeterminate forms and L’Hospital’s Rule V. Integration Techniques A. Formulas B. Integration by parts C. Integration of trigonometric powers D. Trigonometric substitution and quadratic forms E. Partial fraction decomposition F. Miscellaneous substitutions G. Improper integrals VI. Sequences and Series A. Sequences 1. Convergence and divergence 2. Bounded sequences B. Infinite series 1. Convergence and divergence 2. Alternating series 3. Power series 4. Representing functions through power series VII. Vectors A. Vector algebra in the plane and space 1. Vector norm 2. Operations 3. Normalized vector 4. Dot product a. Definition b. Applications 5. Cross product a. Definition b. Applications VIII. Functions of Several Variables A. Function evaluation B. Partial derivatives C. Iterated integrals D. Double integrals and applications METHODOLOGY: Recommended active learning strategies include: • Class discussions • Computer lab sessions • Use of WEB 2.0 • Activities focused on solving mathematical problems EVALUATION: • 4 midterm exams: 60% • Online assignments: 20% • Final exam: 20% • Total: 100% LEARNING ASSESSMENT: The institutional assessment rubric is applied to the central activity of the course. BIBLIOGRAPHY: TEXTBOOK: • Larson, R. (2013). Calculus (10th ed.). Brooks/Cole. REFERENCES: • FreeBookCentre.net. (n.d.). [Calculus books]. Retrieved from FreeBookCentre.net • Larson, E. (2010). Calculus (8th ed.). Retrieved from Cengage • Purcell, E. (2007). Calculus (9th ed.). Retrieved from Google Books • Stewart, J. (2011). Calculus (7th ed.). Cengage Learning. More information resources related to course topics can be found on the library’s website Sagrado Library. REASONABLE ACCOMMODATIONS: For detailed information on the process and required documentation, visit the relevant office. To ensure equal conditions, in compliance with the ADA (1990) and the Rehabilitation Act (1973), as amended, any student requiring reasonable accommodations or special assistance must complete the process established by the Office of Academic Affairs. ACADEMIC HONESTY, FRAUD, AND PLAGIARISM: Any student who violates the academic honesty policy is subject to the following sanctions: receiving a zero on the evaluation, redoing the work in the seminar, receiving an F(*) in the seminar, suspension, or expulsion as established in the Academic Honesty Policy (DAEE 205-001) effective August 2005. All rights reserved | Sagrado | February, 2017
2024-08-05 11:30:00 - Ema Sofia Lopez <elopez83>
MAT 202 - Calculus II SYLLABUS TITLE: Calculus II CODE: MAT 202 PREREQUISITE: MAT 201 CREDITS: 5 credits | 75 contact hours | 1 term DESCRIPTION: This course is both theoretical and practical, focusing on the knowledge and application of integral calculus. It covers solving problems related to volumes of solids of revolution, surface areas, and arc lengths through integrals. Various integration techniques are taught, as well as solving problems involving indeterminate forms and improper integrals. The course introduces sequences and series, vectors, and functions of several variables through partial derivatives and multiple integrals. It applies different mathematical models to various scientific and social knowledge areas. The course is delivered face-to-face, with support from WEB 2.0 applications and USC’s distance education system. JUSTIFICATION: The skills developed in this course are essential for the efficient performance of tasks by scientists, whether they are mathematicians, chemists, physicists, or biologists. Although mainly designed for Natural Sciences students, in recent years, the use of Calculus has been adapted to many areas of Social Sciences and Business Administration in line with modern technology demands. COMPETENCIES: The course develops the following competencies in students: • Critical questioning • Communication OBJECTIVES: By the end of the course, students will be able to: 1. Demonstrate skills in solving integrals by discerning problem characteristics. 2. Apply knowledge and skills to defined integrals. 3. Apply knowledge and skills to derivatives and integrals of transcendental functions and functions of several variables. 4. Exhibit critical thinking by classifying exercises involving integrals, sequences, series, and vectors to apply different solving techniques. 5. Solve problems using special WEB 2.0 applications for mathematics. CONTENT: I. Applications of the Definite Integral A. Volumes of solids of revolution 1. Disk method 2. Washer method 3. Cylindrical shells method B. Surface area and logarithmic surface C. Arc length and surfaces of solids of revolution D. Work problems E. Liquid pressure and force problems II. Exponential and Logarithmic Functions A. Derivative of the inverse function B. Derivatives and integrals of Natural Logarithm and Exponential functions C. Derivatives and integrals of General Logarithmic and Exponential functions III. Trigonometric Functions and Their Inverses A. Trigonometric functions 1. Derivatives 2. Integrals B. Inverses of trigonometric functions 1. Derivatives 2. Integrals IV. Hyperbolic Functions and Their Inverses A. Derivatives and integrals of hyperbolic functions B. Derivatives and integrals of inverse hyperbolic functions C. Indeterminate forms and L’Hospital’s Rule V. Integration Techniques A. Formulas B. Integration by parts C. Integration of trigonometric powers D. Trigonometric substitution and quadratic forms E. Partial fraction decomposition F. Miscellaneous substitutions G. Improper integrals VI. Sequences and Series A. Sequences 1. Convergence and divergence 2. Bounded sequences B. Infinite series 1. Convergence and divergence 2. Alternating series 3. Power series 4. Representing functions through power series VII. Vectors A. Vector algebra in the plane and space 1. Vector norm 2. Operations 3. Normalized vector 4. Dot product a. Definition b. Applications 5. Cross product a. Definition b. Applications VIII. Functions of Several Variables A. Function evaluation B. Partial derivatives C. Iterated integrals D. Double integrals and applications METHODOLOGY: Recommended active learning strategies include: • Class discussions • Computer lab sessions • Use of WEB 2.0 • Activities focused on solving mathematical problems EVALUATION: • 4 midterm exams: 60% • Online assignments: 20% • Final exam: 20% • Total: 100% LEARNING ASSESSMENT: The institutional assessment rubric is applied to the central activity of the course. BIBLIOGRAPHY: TEXTBOOK: • Larson, R. (2013). Calculus (10th ed.). Brooks/Cole. REFERENCES: • FreeBookCentre.net. (n.d.). [Calculus books]. Retrieved from FreeBookCentre.net • Larson, E. (2010). Calculus (8th ed.). Retrieved from Cengage • Purcell, E. (2007). Calculus (9th ed.). Retrieved from Google Books • Stewart, J. (2011). Calculus (7th ed.). Cengage Learning. More information resources related to course topics can be found on the library’s website Sagrado Library. REASONABLE ACCOMMODATIONS: For detailed information on the process and required documentation, visit the relevant office. To ensure equal conditions, in compliance with the ADA (1990) and the Rehabilitation Act (1973), as amended, any student requiring reasonable accommodations or special assistance must complete the process established by the Office of Academic Affairs. ACADEMIC HONESTY, FRAUD, AND PLAGIARISM: Any student who violates the academic honesty policy is subject to the following sanctions: receiving a zero on the evaluation, redoing the work in the seminar, receiving an F(*) in the seminar, suspension, or expulsion as established in the Academic Honesty Policy (DAEE 205-001) effective August 2005. All rights reserved | Sagrado | February, 2017
2024-08-05 11:26:36 - Ema Sofia Lopez <elopez83>
CURRICULUM DESIGN MATRIX Document Objectives: Structure the design process of the teaching-learning experience by articulating essential elements for high academic quality: instructional content, activities, and assessment. Document Instructions: This document must be fully completed for review by the Digital Education Unit. This step precedes the course setup on CANVAS. Additionally, it will serve as a reference for collaboration between the responsible professor and the assigned designer. It is a living document throughout the design and course setup process, shared with the LIBRARY. Upon completion, it should guide future instructors and students. During the course implementation phase, academic leaders will integrate colleagues who are specialists in the academic area to provide input on the design, content, resources, and proposed activities. General Information Course Code and Title: MAT 202 | Calculus 2 Professor: Francisco Arencibia Albite Contact Information: franciscom.arencibia@sagrado.edu Document Update Date: October 5, 2021 Course Introduction Duration: 1 week Objectives: Review of Calculus 1 Competencies: • Critical questioning • Communication Instructional Content: • Review of differential calculus: power rule, product rule, quotient rule, chain rule, implicit differentiation, first derivative test, second derivative test • Review of integral calculus: indefinite integration, U-substitution, definite integration, fundamental theorem of calculus, areas under curves Activities: • Practice exercises • Problem-solving Assessment: • Online homework (5%) • Midterm Exam 1 (15%) Unit I: Applications of Integration and Differentiation, Integration of Transcendental Functions Duration: 4 weeks Objectives: • Demonstrate skills in solving integrals by discerning problem characteristics. • Apply knowledge and skills to defined integrals. • Apply knowledge and skills to derivatives and integrals of transcendental functions. • Solve problems using special WEB 2.0 applications for mathematics. Competencies: • Critical questioning • Communication Instructional Content: • Applications of the definite integral: volumes of solids of revolution (disk method, washer method, cylindrical shells method), surface area and logarithmic surface, arc length, and surface area of revolution, work problems, liquid pressure and force problems. • Exponential and logarithmic functions: derivatives of inverse functions, derivatives and integrals of natural logarithm and exponential functions, general logarithmic and exponential functions, trigonometric functions and their inverses, hyperbolic functions and their inverses, L’Hospital’s rule for indeterminate forms. Activities: • Practice exercises • Problem-solving Assessment: • Online homework (5%) • Midterm Exam 2 (15%) Resources: • Symbolab • WolframAlpha • Khan Academy Unit II: Integration Techniques and Improper Integrals Duration: 5 weeks Objectives: • Demonstrate skills in solving integrals by discerning problem characteristics. • Apply knowledge and skills to defined integrals. • Solve problems using special WEB 2.0 applications for mathematics. Competencies: • Critical questioning • Communication Instructional Content: • Integration techniques: formulas, integration by parts, integration of trigonometric powers, trigonometric substitution and quadratic forms, partial fraction decomposition, miscellaneous substitutions, improper integrals. Activities: • Practice exercises • Problem-solving Assessment: • Online homework (5%) • Midterm Exam 3 (15%) Resources: • Symbolab • WolframAlpha • Khan Academy Unit III: Sequences, Series, Vectors, and Functions of Several Variables Duration: 4 weeks Objectives: • Demonstrate knowledge and skills of functions of several variables. • Exhibit critical thinking by classifying exercises on integrals, sequences and series, and vectors to apply different solving techniques. • Solve problems using special WEB 2.0 applications for mathematics. Competencies: • Critical questioning • Communication Instructional Content: • Sequences: convergence and divergence, bounded sequences • Infinite series: convergence and divergence, alternating series, power series, representing functions through power series • Vectors: vector algebra in the plane and space, vector norm, operations, normalized vector, dot product (definition and applications), cross product (definition and applications) • Functions of several variables: function evaluation, partial derivatives, iterated integrals, double integrals, and applications Activities: • Practice exercises • Problem-solving Assessment: • Online homework (5%) • Midterm Exam 4 (15%) Resources: • Symbolab • WolframAlpha • Khan Academy Course Closure Duration: 1 week Objectives: Critical reflection on what has been learned Competencies: • Critical questioning • Communication Instructional Content: General review of course content Closing Activity: Reflective discussion between professor and students Assessment: Final Exam (20%)
2024-08-05 11:23:03 - Ema Sofia Lopez <elopez83>
However, I am willing to translate the document.
2024-08-05 11:18:31 - Ema Sofia Lopez <elopez83>
I am unable to provide an english translation.
2024-08-05 11:06:21 - Jake D Vaughn <jvaughn67>
Are you able to provide a translated document in English?
Trail Log
2024-08-11 10:00:17
Final equivalencies entered by Crystal Canady Elster (celster3) Final equiv: MATH 1552 (4 hrs) AND MATH 1XXX (1 hrs). Policy. Phase set to Complete.
2024-08-07 13:36:58
Draft equivalencies entered by Xu-Yan Chen (xc4) Draft equiv: MATH 1552 (4 hrs) AND MATH 1XXX (1 hrs). Policy. Phase set to Registrar 2.
2024-08-07 07:45:57
Assigned to Xu-Yan Chen (xc4) by Jake D Vaughn (jvaughn67). Phase set to Department.
2024-08-05 11:18:31
Resubmitted to Registrar 1 by Ema Sofia Lopez (903875518). Phase set to Registrar 1.
2024-08-05 11:06:21
Sent back to Student by Jake D Vaughn (jvaughn67). Phase set to Student. Must be resubmitted.
2024-08-03 10:41:25
Supplemental file attached to evaluation by Ema Sofia Lopez (903875518).
2024-08-03 10:39:43
Supplemental file attached to evaluation by Ema Sofia Lopez (903875518).
2024-07-30 16:06:17
Evaluation initiated by Ema Sofia Lopez (903875518). Phase set to Registrar 1.