Update (07 / 22 / 2011): The notes are no longer available on the server of the University of Nevada, Reno, because Evrenosoglu has left the university - he will join Virginia Tech in August. I hope he will put the notes online there. In the meantime you might have a look at Agarwal and Lang, or, for a free resource, at Chaniotakis and Cory.
These lectures are in pdf format, but consist of Powerpoint slides. Some of them require that you are familiar with a bit advanced mathematics: Complex numbers (for lecture 9 on phasors), basic matrix algebra (for lecture 4 on analysis methods for resistive circuits) and some basic calculus (for lecture 7 on energy storage elements and lecture 8 on RC and RL circuits).
Lecture 1 provides some general studying advice and an introduction to the concept of abstraction. It discusses under which conditions we can (approximately) substitute the (rather complicated) Maxwell equations by the lumped circuit abstraction.
Lecture 2 introduces the most basic concepts like voltage, current, resistor and power.
Lecture 3, resistive circuits, discusses KVL, KCL and how simple circuits can be analysed by finding the equivalent circuits for elements that are connected in series or in parallel.
More universal and systematic means to analyse circuits arbitrary circuits (node analysis and mesh analysis) are discussed in lecture 4.
Lecture 5 , Circuit Theorems, covers the superposition principle, source transformation, Thevenin's and Norton's theorems and their applications.
Lecture 6 covers the fundamental equations of the ideal Op Amp and some basic circuits in which they are used.
Lecture 7 discusses the fundamental equations that describe the behavior of capacitors and inductors.
Lecture 8 covers circuits with R, L and C in the time domain.
Lecture 9, Phasors, discusses R, L and C circuits in the frequeny domain, after an introduction to phasor notation.
You should also take a look at some recommendations for other books and resources on basic linear circuit analysis.
Wise Warthog - Learning Resources
for Analog Electronics and more