






short description:
Calculus II is a standard second course in calculus where the focus of the course is integration and its various techniques
long description:
Calculus II
Instructor: Dr. Abeer Yasin
Course Duration: 6 months
Course Description:
Calculus II is a standard second course in calculus where topics covered include integration of elementary functions, techniques of integration, integrals with infinite limits of integration, integrals with discontinuous integrands, applications of the definite integral, introduction to sequences and series and their applications.
Learning Outcomes:
After successfully completing this course, the students will be able to:
Understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and should be able to use integrals to solve a variety of problems.
Use basic techniques of integration to find particular or general antiderivatives.
Demonstrate the connection between area and the definite integral.
Apply the Fundamental theorem of calculus to evaluate definite integrals.
Use differentiation and integration to solve real world problems such as rate of change, optimization, and area problems.
Communicate mathematics and explain solutions to problems both verbally and in written sentences.
Course Lessons:
Lesson 1: An overview of the area problem
Lesson 1 discusses the definite and indefinite integrals. The area under the curve will be expressed as a limit of a Riemann sum. Other topics will include the Fundamental theorem of Calculus and the area between two curves.
Lesson 2: general Integration rules and Integration by substitution
Lesson 2 will discuss the antiderivative and the general rules of integration as well as integration by substitution as an integration tool and the cases when it can be applied.
Lesson 3: Integration by parts
Lesson 3 will focus on the integration by parts technique as one of the integration tools for indefinite and definite integrals, for integrals involving sine and cosine, integrals involving ln, arcsin, arctan, and integrals involving exponentials.
Lesson 5: Trigonometric Integrals
In lesson 5 we will discuss trigonometric integrals of products of powers of sine and cosine, products of powers of tan and sec and products of sine and cosine and multiples of the variables.
Lesson 6: Trigonometric Substitutions:
Lesson 6 will discuss trigonometric substitutions through completing the square, substitutions involving sine and cosine, substitutions involving tan and substitutions involving sec.
Lesson 7: Integration using partial fractions
This lesson will discuss integration of rational functions through long division of polynomials, decomposition of simple fractions, simple linear factors, repeated linear factors, simple quadratic factors and rationalizing substitution.
Lesson 12: Improper integrals
Lesson 12 will look into the case of integration of an infinite function in an infinite domain of integration, the special case referred to as improper integration.
Textbook Calculus, Early Transcendental Functions, 3rd ed., R. Smith and R. Minton, McGrawHill, 2007
level of difficulty:
all welcome
minimum class size:
1
availability:
Avaliable online by appointment
fee comments:
n.a.

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Caclulus II


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Calculus II is a standard second course in calculus where the focus of the course is integration and its various techniques


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languages:
English
duration:
1h 0m
fee:
99US$ (990lp)
payment:
at booking delivery method:
live online






Abeer Yasin



description of :
Teacher's qualifications:
Courses taught on ground and online:
College Algebra
PreCalculus
Calculus I
Calculus II
Calculus III
Fundamentals of Mathematics
Elementary Probability and Statistics
Business Mathematics
Business Statistics
Biostatistics
Advanced Business Statistics
Discrete Mathematics
Business Mathematics and Economics
Business Statistics and Research
Statistics and Probability
Statistics I
Statistics II
Mathematical Statistics
Statistical Methods
Research and Statistics
Probability and Statistics for Engineers
Applied Mathematics
Numerical Analysis
Engineering Mathematics
Mathematics for Medical Students
General Mathematics
SPSS and Statistics
Introductory Mathematics
Intermediate Mathematics
Introductory Algebra
Intermediate Algebra
Linear Algebra I
Finite Mathematics
Trigonometry
Basic Mathematics
Finite Mathematics
Complex Analysis
Ordinary Differential Equations
Partial Differential Equations
Fundamentals of Accounting I
Fundamentals of Accounting II
Principles of Macroeconomics
Principles of Microeconomics
Finite Mathematics
Linear Algebra
Quantitative Reasoning for Business (Graduate, Research)
Doctoral Dissertation Courses
DOC 722
DOC 733
DOC 733 A
DOC 733B
DOC 734
DOC 734 A
DOC 734 B
Computer skills
Microsoft Excel
Microsoft word
Microsoft power point
Microsoft environment
Windows environment.
Latex MiKTeX (2.7)
SPSS Statistical Software.
Graph Pad Prism Statistical Software.
MedCalc Statistical Software
Analyze it for Microsoft Excel Statistical Software
MathCad
MathXpert
Equation Wizard
ESB Stats
WinPlot
Microsoft Math
Math Magic Personal 3.64
Equation Conversion Manager
Math Type
7Math
End Note
Reference Manager
VUE
Project Kick Start
LMS Chart Maker
OpenStat
Assistat (Statistical Assistance, v 7.6 beta)
AM Statistical Software (product of the American Institutes of Research, v 0.06)
StatEasy (v 0.4
PQRS (Probabilities, Quantiles and Random Samples)
ARC (XLISPSTAT)
WinIDAMS (Validation, Manipulation and Statistical Analysis of Data, v 1.3, UNESCO)
InStat (Statistical Services Center, v 3.036)
Research interests:
Mathematics and Engineering:
Nonlinear Partial Differential Equations.
PLaplace Operator and Applications in Engineering and Medicine
Functional analysis.
Dynamical systems.
Pure and Applied Mathematics in Medicine:
BioFluid Dynamics.
BioFluid Mechanics
Biomedical Engineering
Statistics and Applied Mathematics in Medicine:
Obesity.
Glomerular Filtration Rate estimation (eGFR).
Cystatin C and Nephrology.
Cystatin C and Cardiology
Cystatin C
GDF15 (Growth Differentiation Factor15)
Beta Trace Protein
Modeling of Mathematical Phenomena in Nephrology and Cardiology
's preferred teaching style:
OnlineVirtual class room


