






short description:
This first course in calculus emphasizes problemsolving and the application of calculus techniques to a variety of realworld situations.
long description:
Calculus I
Instructor: Dr. Abeer Yasin
Course Duration: 4 months
Course Description:
This first course in calculus emphasizes problemsolving and the application of calculus techniques to a variety of realworld situations. The course begins with some preliminary material that reviews the concept of a function and basic problemsolving techniques, and tests a student's preparedness for studying calculus. The five course units include examinations of: secants and tangent lines, velocities and other rates of change, polynomial and trigonometric functions, logarithmic and inverse trigonometric functions, Mean Value Theorem, and derivatives.
Learning Outcomes:
After successfully completing this course, the students will be able to:
Find limits of functions graphically, numerically and algebraically.
Analyze and apply the notions of continuity and differentiability to algebraic and transcendental functions.
Determine derivatives by a variety of techniques including explicit differentiation, implicit differentiation, and logarithmic differentiation.
Use these derivatives to study the characteristics of curves.
Construct detailed graphs of nontrivial functions using derivatives and limits.
Use basic techniques of integration to find particular or general antiderivatives.
Lessons:
Lesson 1: Functions
Lesson 1 focuses on exponential, inverse and logarithmic functions and their applications to real life models.
Lesson 2: Limits and Derivatives
In this lesson we will discuss the tangent and velocity problem, the limit of a function, calculating limits using limit laws, the precise definition of a limit, continuity, limits at infinity and horizontal asymptotes, tangents, velocity, rates of change, derivatives and the derivative as a function.
Lesson 3: Differentiation Rules
Lesson 3 focuses on derivatives of polynomials and exponential functions, the product and quotient rules of differentiation, derivatives of trigonometric functions, the chain rule, implicit differentiation, higher derivatives, derivatives of logarithmic functions and related rates.
Lesson 4: The MeanValue Theorem
Lesson 4 focuses on the mean value theorem and its applications including increasing and decreasing functions, local extreme values, endpoint and absolute extreme values, max and min problems, concavity and points of inflection, vertical and horizontal asymptotes, curve sketching, velocity and acceleration and related rates of change per unit time problems.
Lesson 5: Applications of Differentiation
In this lesson we discuss a variety of topics as applications of differentiation including maximum and minimum values, the affect of the derivative on the shape of a graph, indeterminate forms and LHospital rule, optimization problems, Newtons method and antiderivatives.
Textbook: James Stewart, Calculus: Early Transcendentals, fourth edition, Brooks/Cole, 1999.
level of difficulty:
all welcome
minimum class size:
1
availability:
Avaliable Online by Appointment
fee comments:
n.a.

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duration:


Calculus I


live session


This first course in calculus emphasizes problemsolving and the application of calculus techniques to a variety of realworld situations.


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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


