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Calculus I


 with Abeer Yasin

short description:
This first course in calculus emphasizes problem-solving and the application of calculus techniques to a variety of real-world situations.
long description:
Calculus I
Instructor: Dr. Abeer Yasin
Course Duration: 4 months

Course Description:
This first course in calculus emphasizes problem-solving and the application of calculus techniques to a variety of real-world situations. The course begins with some preliminary material that reviews the concept of a function and basic problem-solving 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 anti-derivatives.

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 Mean-Value 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 L’Hospital rule, optimization problems, Newton’s method and anti-derivatives.

Textbook: James Stewart, Calculus: Early Transcendentals, fourth edition, Brooks/Cole, 1999.

level of difficulty:
all welcome
minimum class size:
Avaliable Online by Appointment
fee comments:
 session structure





Calculus I

live session

This first course in calculus emphasizes problem-solving and the application of calculus techniques to a variety of real-world situations.

1h 0m

total duration: 1h 0m over 1 session(s)
comments: n.a.

discussion forums: 1

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

Quick Help


Abeer Yasin

description of :

Teacher's qualifications:

Courses taught on- ground and online:
 College Algebra
 Pre-Calculus
 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
• 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)
• 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.
 P-Laplace Operator and Applications in Engineering and Medicine
 Functional analysis.
 Dynamical systems.
 Pure and Applied Mathematics in Medicine:
 Bio-Fluid Dynamics.
 Bio-Fluid Mechanics
 Biomedical Engineering
 Statistics and Applied Mathematics in Medicine:
 Obesity.
 Glomerular Filtration Rate estimation (e-GFR).
 Cystatin C and Nephrology.
 Cystatin C and Cardiology
 Cystatin C
 GDF-15 (Growth Differentiation Factor-15)
 Beta Trace Protein
 Modeling of Mathematical Phenomena in Nephrology and Cardiology

's preferred teaching style:
Online-Virtual class room

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