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- https://math.libretexts.org/Courses/Mount_Royal_University/Abstract_Algebra_I/Chapter_2%3A_GroupsUnderstanding their definitions and properties and studying examples is important in order to gain a comprehensive understanding of algebraic structures. Define and understand the basic concepts of gr...Understanding their definitions and properties and studying examples is important in order to gain a comprehensive understanding of algebraic structures. Define and understand the basic concepts of groups and properties. Define and distinguish between various types of groups, such as finite and infinite groups, abelian and non-abelian groups, and cyclic and non-cyclic groups.. Prove basic results involving various types of groups. Solve basic problems involving various groups and its subgroups.
- https://math.libretexts.org/Bookshelves/Calculus/Supplemental_Modules_(Calculus)/Vector_CalculusVector calculus is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space The term "vector calculus" is sometimes used as a synonym for the broader...Vector calculus is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus.
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_310_Bridge_to_Advanced_MathematicsThis book will initiate you into an esoteric world. You will learn and apply the methods of thought that mathematicians use to verify theorems, explore mathematical truth and create new mathematical t...This book will initiate you into an esoteric world. You will learn and apply the methods of thought that mathematicians use to verify theorems, explore mathematical truth and create new mathematical theories. This will prepare you for advanced mathematics courses, for you will be better able to understand proofs, write your own proofs and think critically and inquisitively about mathematics.
- https://math.libretexts.org/Courses/University_of_Iowa/Differential_Equations_for_Engineers
- https://math.libretexts.org/Bookshelves/Analysis/Supplemental_Modules_(Analysis)/Ordinary_Differential_EquationsThese Core Modules are complemented by modules in Lebl's Differential Equations for Engineers Textmap. Please check there for additional information.
- https://math.libretexts.org/Courses/Lumen_Learning/Introduction_to_College_Mathematics_(Lumen)
- https://math.libretexts.org/Courses/Coalinga_College/Math_for_Educators_(MATH_010A_and_010B_CID120)/01%3A_Teaching_Elementary_Mathematics
- https://math.libretexts.org/Under_Construction/Stalled_Project_(Not_under_Active_Development)/Calculus_for_the_Life_Sciences_-_A_Modeling_Approach_Volume_1_(Cornette_and_Acherman)Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for li...Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.
- https://math.libretexts.org/Courses/Angelo_State_University/Mathematical_Computing_with_Python/01%3A_Introduction_to_PythonA brief introduction to Python, especially those functions and packages that will be used throughout this text.
- https://math.libretexts.org/Courses/De_Anza_College/Pre-Statistics
- https://math.libretexts.org/Under_Construction/Development_Details/Default_Organizations/Default_Text